diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 464205e5..7626fa5e 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -13,6 +13,8 @@ jobs:
       REQ_NOWARN_OUTPUT: true
       # TODO: Remove on Finch 0.17
       FINCH_REF: b08b594
+      # TODO: Remove on Plug 1.15
+      PLUG_REF: 7b859ef
     strategy:
       fail-fast: false
       matrix:
diff --git a/lib/req/steps.ex b/lib/req/steps.ex
index 58d7f940..9c1f5f94 100644
--- a/lib/req/steps.ex
+++ b/lib/req/steps.ex
@@ -987,6 +987,8 @@ defmodule Req.Steps do
   end
 
   defp run_plug(request) do
+    plug = request.options[:plug]
+
     req_body =
       case request.body do
         iodata when is_binary(iodata) or is_list(iodata) ->
@@ -1009,19 +1011,76 @@ defmodule Req.Steps do
         end
       end
 
+    conn = Plug.Test.conn(request.method, request.url, req_body)
+
     conn =
-      Plug.Test.conn(request.method, request.url, req_body)
+      if request.into do
+        register_before_chunk(conn, fn conn, chunk ->
+          update_in(conn.private[:req_plug_chunks], fn chunks ->
+            (chunks || []) ++ [chunk]
+          end)
+        end)
+      else
+        conn
+      end
+
+    conn =
+      conn
       |> Map.replace!(:req_headers, req_headers)
-      |> call_plug(request.options[:plug])
+      |> call_plug(plug)
 
     response =
       Req.Response.new(
         status: conn.status,
-        headers: conn.resp_headers,
-        body: conn.resp_body
+        headers: conn.resp_headers
       )
 
-    {request, response}
+    case request.into do
+      nil ->
+        response = put_in(response.body, conn.resp_body)
+        {request, response}
+
+      fun when is_function(fun, 2) ->
+        chunks =
+          conn.private[:req_plug_chunks] ||
+            raise "plug #{inspect(plug)} does not send chunked response"
+
+        Enum.reduce_while(
+          chunks,
+          {request, response},
+          fn chunk, acc ->
+            fun.({:data, chunk}, acc)
+          end
+        )
+
+      collectable ->
+        chunks =
+          conn.private[:req_plug_chunks] ||
+            raise "plug #{inspect(plug)} does not send chunked response"
+
+        {acc, collector} = Collectable.into(collectable)
+
+        {acc, {request, response}} =
+          Enum.reduce(
+            chunks,
+            {acc, {request, response}},
+            fn chunk, {acc1, acc2} ->
+              {collector.(acc1, {:cont, chunk}), acc2}
+            end
+          )
+
+        acc = collector.(acc, :done)
+        {request, %{response | body: acc}}
+    end
+  end
+
+  # TODO: remove when we depend on Plug 1.15
+  defp register_before_chunk(conn, callback) do
+    if Code.ensure_loaded?(Plug.Conn) and function_exported?(Plug.Conn, :register_before_chunk, 2) do
+      Plug.Conn.register_before_chunk(conn, callback)
+    else
+      raise "using :into and :plug requires Plug 1.15"
+    end
   end
 
   defp call_plug(conn, plug) when is_atom(plug) do
diff --git a/mix.exs b/mix.exs
index e460b5a8..83a1e4d6 100644
--- a/mix.exs
+++ b/mix.exs
@@ -28,7 +28,9 @@ defmodule Req.MixProject do
           :brotli,
           :ezstd,
           # TODO: Wait for async_request/3
-          Finch
+          Finch,
+          # TODO: Wait for Plug 1.15
+          Plug.Conn
         ]
       ]
     ]
@@ -58,7 +60,7 @@ defmodule Req.MixProject do
       {:mime, "~> 1.6 or ~> 2.0"},
       {:jason, "~> 1.0"},
       {:nimble_csv, "~> 1.0", optional: true},
-      {:plug, "~> 1.0", optional: true},
+      {:plug, "~> 1.0", [optional: true] ++ plug_opts()},
       {:brotli, "~> 0.3.1", optional: true},
       {:ezstd, "~> 1.0", optional: true},
       {:bypass, "~> 2.1", only: :test},
@@ -79,6 +81,19 @@ defmodule Req.MixProject do
     end
   end
 
+  defp plug_opts do
+    cond do
+      path = System.get_env("PLUG_PATH") ->
+        [path: path]
+
+      ref = System.get_env("PLUG_REF") ->
+        [github: "elixir-plug/plug", ref: ref]
+
+      true ->
+        []
+    end
+  end
+
   defp docs do
     [
       main: "readme",
diff --git a/test/req/steps_test.exs b/test/req/steps_test.exs
index 6e8c336f..00e2b370 100644
--- a/test/req/steps_test.exs
+++ b/test/req/steps_test.exs
@@ -1436,6 +1436,27 @@ defmodule Req.StepsTest do
 
       assert Req.request!(req).body == "foofoo"
     end
+
+    # TODO: Remove on Plug 1.15
+    plug_register_before_chunk? =
+      Code.ensure_loaded?(Plug.Conn) and function_exported?(Plug.Conn, :register_before_chunk, 2)
+
+    @tag skip: not plug_register_before_chunk?
+    test "response stream" do
+      req =
+        Req.new(
+          plug: fn conn ->
+            conn = Plug.Conn.send_chunked(conn, 200)
+            {:ok, conn} = Plug.Conn.chunk(conn, "foo")
+            {:ok, conn} = Plug.Conn.chunk(conn, "bar")
+            conn
+          end,
+          into: []
+        )
+
+      resp = Req.request!(req)
+      assert resp.body == ["foo", "bar"]
+    end
   end
 
   describe "run_finch" do