diff --git a/compiler/noirc_evaluator/src/ssa/opt/simplify_cfg.rs b/compiler/noirc_evaluator/src/ssa/opt/simplify_cfg.rs
index 0a3b2a800ca..6887873dbc3 100644
--- a/compiler/noirc_evaluator/src/ssa/opt/simplify_cfg.rs
+++ b/compiler/noirc_evaluator/src/ssa/opt/simplify_cfg.rs
@@ -15,7 +15,9 @@ use acvm::acir::AcirField;
 
 use crate::ssa::{
     ir::{
-        basic_block::BasicBlockId, cfg::ControlFlowGraph, function::Function,
+        basic_block::BasicBlockId,
+        cfg::ControlFlowGraph,
+        function::{Function, RuntimeType},
         instruction::TerminatorInstruction,
     },
     ssa_gen::Ssa,
@@ -30,7 +32,7 @@ impl Ssa {
     /// 5. Replacing any jmpifs with constant conditions with jmps. If this causes the block to have
     ///    only 1 successor then (2) also will be applied.
     ///
-    /// Currently, 1 and 4 are unimplemented.
+    /// Currently, 1 is unimplemented.
     #[tracing::instrument(level = "trace", skip(self))]
     pub(crate) fn simplify_cfg(mut self) -> Self {
         for function in self.functions.values_mut() {
@@ -72,6 +74,10 @@ fn simplify_function(function: &mut Function) {
             // optimizations performed after this point on the same block should check if
             // the inlining here was successful before continuing.
             try_inline_into_predecessor(function, &mut cfg, block, predecessor);
+        } else {
+            drop(predecessors);
+
+            check_for_double_jmp(function, block, &mut cfg);
         }
     }
 }
@@ -102,6 +108,71 @@ fn check_for_constant_jmpif(
     }
 }
 
+/// Optimize a jmp to a block which immediately jmps elsewhere to just jmp to the second block.
+fn check_for_double_jmp(function: &mut Function, block: BasicBlockId, cfg: &mut ControlFlowGraph) {
+    if matches!(function.runtime(), RuntimeType::Acir(_)) {
+        // We can't remove double jumps in ACIR functions as this interferes with the `flatten_cfg` pass.
+        return;
+    }
+
+    if !function.dfg[block].instructions().is_empty()
+        || !function.dfg[block].parameters().is_empty()
+    {
+        return;
+    }
+
+    let Some(TerminatorInstruction::Jmp { destination: final_destination, arguments, .. }) =
+        function.dfg[block].terminator()
+    else {
+        return;
+    };
+
+    if !arguments.is_empty() {
+        return;
+    }
+
+    let final_destination = *final_destination;
+
+    let predecessors: Vec<_> = cfg.predecessors(block).collect();
+    for predecessor_block in predecessors {
+        let terminator_instruction = function.dfg[predecessor_block].take_terminator();
+        let redirected_terminator_instruction = match terminator_instruction {
+            TerminatorInstruction::JmpIf {
+                condition,
+                then_destination,
+                else_destination,
+                call_stack,
+            } => {
+                let then_destination =
+                    if then_destination == block { final_destination } else { then_destination };
+                let else_destination =
+                    if else_destination == block { final_destination } else { else_destination };
+                TerminatorInstruction::JmpIf {
+                    condition,
+                    then_destination,
+                    else_destination,
+                    call_stack,
+                }
+            }
+            TerminatorInstruction::Jmp { destination, arguments, call_stack } => {
+                assert_eq!(
+                    destination, block,
+                    "ICE: predecessor block doesn't jump to current block"
+                );
+                assert!(arguments.is_empty(), "ICE: predecessor jmp has arguments");
+                TerminatorInstruction::Jmp { destination: final_destination, arguments, call_stack }
+            }
+            TerminatorInstruction::Return { .. } => {
+                unreachable!("ICE: predecessor block should not have return terminator instruction")
+            }
+        };
+
+        function.dfg[predecessor_block].set_terminator(redirected_terminator_instruction);
+        cfg.recompute_block(function, predecessor_block);
+    }
+    cfg.recompute_block(function, block);
+}
+
 /// If the given block has block parameters, replace them with the jump arguments from the predecessor.
 ///
 /// Currently, if this function is needed, `try_inline_into_predecessor` will also always apply,