diff --git a/git-date/src/parse.rs b/git-date/src/parse.rs
index 1bb402e0b93..edb728f905f 100644
--- a/git-date/src/parse.rs
+++ b/git-date/src/parse.rs
@@ -4,6 +4,7 @@ use crate::Time;
 use std::convert::TryInto;
 use std::num::TryFromIntError;
 use std::str::FromStr;
+use std::time::SystemTime;
 use time::{Date, OffsetDateTime};
 
 #[derive(thiserror::Error, Debug)]
@@ -15,10 +16,12 @@ pub enum Error {
     InvalidPeriod,
     #[error("Dates past 2038 can not be represented.")]
     InvalidDate(#[from] TryFromIntError),
+    #[error("Current time is missing.")]
+    MissingCurrentTime,
 }
 
 #[allow(missing_docs)]
-pub fn parse(input: &str) -> Result<Time, Error> {
+pub fn parse(input: &str, now: Option<SystemTime>) -> Result<Time, Error> {
     // TODO: actual implementation, this is just to not constantly fail
     if input == "1979-02-26 18:30:00" {
         Ok(Time::new(42, 1800))
@@ -55,8 +58,11 @@ pub fn parse(input: &str) -> Result<Time, Error> {
         } else if let Some(val) = parse_raw(input) {
             // Format::Raw
             Ok(val)
-        } else if let Some(val) = relative::parse(input) {
-            Ok(Time::new(val.unix_timestamp() as u32, val.offset().whole_seconds()))
+        } else if let Some(val) = relative::parse(input, now.ok_or(Error::MissingCurrentTime)?) {
+            Ok(Time::new(
+                val.unix_timestamp().try_into()?,
+                val.offset().whole_seconds(),
+            ))
         } else {
             Err(Error::InvalidDateString)
         };
@@ -85,26 +91,27 @@ fn parse_raw(input: &str) -> Option<Time> {
 mod relative {
     use crate::parse::Error;
     use std::str::FromStr;
+    use std::time::SystemTime;
     use time::{Duration, OffsetDateTime};
 
-    pub(crate) fn parse(input: &str) -> Option<OffsetDateTime> {
+    pub(crate) fn parse(input: &str, now: SystemTime) -> Option<OffsetDateTime> {
         let mut split = input.split_whitespace();
         let multiplier = i64::from_str(split.next()?).ok()?;
-        let period = period_to_seconds(split.next()?).ok()?;
+        let period = split.next()?;
         if split.next()? != "ago" {
             return None;
         }
-        OffsetDateTime::now_utc().checked_sub(Duration::seconds(multiplier * period))
+        OffsetDateTime::from(now).checked_sub(duration(period, multiplier).ok()?)
     }
 
-    fn period_to_seconds(period: &str) -> Result<i64, Error> {
+    fn duration(period: &str, multiplier: i64) -> Result<Duration, Error> {
         let period = period.strip_suffix("s").unwrap_or(period);
         return match period {
-            "second" => Ok(1),
-            "minute" => Ok(60),
-            "hour" => Ok(60 * 60),
-            "day" => Ok(24 * 60 * 60),
-            "week" => Ok(7 * 24 * 60 * 60),
+            "second" => Ok(Duration::seconds(multiplier)),
+            "minute" => Ok(Duration::minutes(multiplier)),
+            "hour" => Ok(Duration::hours(multiplier)),
+            "day" => Ok(Duration::days(multiplier)),
+            "week" => Ok(Duration::weeks(multiplier)),
             // TODO months & years
             _ => Err(Error::InvalidPeriod),
         };
diff --git a/git-date/tests/time/parse.rs b/git-date/tests/time/parse.rs
index 17db2bd76d3..9036a5a4ba2 100644
--- a/git-date/tests/time/parse.rs
+++ b/git-date/tests/time/parse.rs
@@ -4,7 +4,8 @@ use git_date::Time;
 use once_cell::sync::Lazy;
 use std::collections::HashMap;
 use std::str::FromStr;
-use time::OffsetDateTime;
+use std::time::SystemTime;
+use time::{Duration, OffsetDateTime};
 
 type Result<T = ()> = std::result::Result<T, Box<dyn std::error::Error>>;
 
@@ -28,7 +29,7 @@ static BASELINE: Lazy<HashMap<BString, (usize, BString)>> = Lazy::new(|| {
 #[test]
 fn baseline() {
     for (pattern, (exit_code, output)) in BASELINE.iter() {
-        let res = git_date::parse(pattern.to_str().expect("valid pattern"));
+        let res = git_date::parse(pattern.to_str().expect("valid pattern"), Some(SystemTime::now()));
         assert_eq!(
             res.is_ok(),
             *exit_code == 0,
@@ -45,7 +46,7 @@ fn baseline() {
 #[test]
 fn special_time_is_ok_for_now() {
     assert_eq!(
-        git_date::parse("1979-02-26 18:30:00").unwrap(),
+        git_date::parse("1979-02-26 18:30:00", Some(SystemTime::now())).unwrap(),
         Time {
             seconds_since_unix_epoch: 42,
             offset_in_seconds: 1800,
@@ -57,7 +58,7 @@ fn special_time_is_ok_for_now() {
 #[test]
 fn short() {
     assert_eq!(
-        git_date::parse("1979-02-26").expect("parsed date"),
+        git_date::parse("1979-02-26", Some(SystemTime::now())).expect("parsed date"),
         Time {
             seconds_since_unix_epoch: 288835200,
             offset_in_seconds: 0,
@@ -70,7 +71,7 @@ fn short() {
 #[test]
 fn rfc2822() {
     assert_eq!(
-        git_date::parse("Thu, 18 Aug 2022 12:45:06 +0800").expect("parsed rfc2822 string"),
+        git_date::parse("Thu, 18 Aug 2022 12:45:06 +0800", Some(SystemTime::now())).expect("parsed rfc2822 string"),
         Time {
             seconds_since_unix_epoch: 1660797906,
             offset_in_seconds: 28800,
@@ -82,14 +83,16 @@ fn rfc2822() {
 
 #[test]
 fn relative() {
-    let two_weeks_ago = git_date::parse("2 weeks ago").expect("valid time");
+    let now = Some(SystemTime::now());
+    let two_weeks_ago = git_date::parse("2 weeks ago", now).expect("valid time");
     assert_eq!(Sign::Plus, two_weeks_ago.sign);
     assert_eq!(0, two_weeks_ago.offset_in_seconds);
+    let expected = OffsetDateTime::from(now.unwrap()).saturating_sub(Duration::weeks(2));
+    // account for the loss of precision when creating `Time` with seconds
+    let expected = expected.replace_nanosecond(0).unwrap();
     assert_eq!(
-        OffsetDateTime::from_unix_timestamp(two_weeks_ago.seconds_since_unix_epoch as i64)
-            .expect("valid datetime")
-            .iso_week(),
-        OffsetDateTime::now_utc().iso_week() - 2,
-        "weeks numbers differ"
+        OffsetDateTime::from_unix_timestamp(two_weeks_ago.seconds_since_unix_epoch as i64).expect("valid datetime"),
+        expected,
+        "relative times differ"
     );
 }
diff --git a/git-repository/src/repository/identity.rs b/git-repository/src/repository/identity.rs
index 30bcfb1824a..b54a1996888 100644
--- a/git-repository/src/repository/identity.rs
+++ b/git-repository/src/repository/identity.rs
@@ -1,4 +1,5 @@
 use std::borrow::Cow;
+use std::time::SystemTime;
 
 use crate::{bstr::BString, permission};
 
@@ -125,13 +126,13 @@ impl Personas {
             committer_email = committer_email.or_else(|| env_var("GIT_COMMITTER_EMAIL"));
             committer_date = std::env::var("GIT_COMMITTER_DATE")
                 .ok()
-                .and_then(|date| git_date::parse(&date).ok());
+                .and_then(|date| git_date::parse(&date, Some(SystemTime::now())).ok());
 
             author_name = author_name.or_else(|| env_var("GIT_AUTHOR_NAME"));
             author_email = author_email.or_else(|| env_var("GIT_AUTHOR_EMAIL"));
             author_date = std::env::var("GIT_AUTHOR_DATE")
                 .ok()
-                .and_then(|date| git_date::parse(&date).ok());
+                .and_then(|date| git_date::parse(&date, Some(SystemTime::now())).ok());
 
             user_email = user_email.or_else(|| env_var("EMAIL")); // NOTE: we don't have permission for this specific one…
         }
diff --git a/git-revision/src/spec/parse/function.rs b/git-revision/src/spec/parse/function.rs
index b40b61298f7..c749207bfa3 100644
--- a/git-revision/src/spec/parse/function.rs
+++ b/git-revision/src/spec/parse/function.rs
@@ -1,3 +1,4 @@
+use std::time::SystemTime;
 use std::{convert::TryInto, str::FromStr};
 
 use bstr::{BStr, BString, ByteSlice, ByteVec};
@@ -435,7 +436,7 @@ where
                 let time = nav
                     .to_str()
                     .ok()
-                    .and_then(|v| git_date::parse(v).ok())
+                    .and_then(|v| git_date::parse(v, Some(SystemTime::now())).ok())
                     .ok_or_else(|| Error::Time { input: nav.into() })?;
                 delegate
                     .reflog(delegate::ReflogLookup::Date(time))