diff --git a/src/lake/Lake/Load/Materialize.lean b/src/lake/Lake/Load/Materialize.lean
index ed207066b1..c01aae4a70 100644
--- a/src/lake/Lake/Load/Materialize.lean
+++ b/src/lake/Lake/Load/Materialize.lean
@@ -45,6 +45,7 @@ def updateGitRepo (repo : GitRepo) (url : String)
 (rev? : Option String) (name : String) : LogIO Unit := do
   let sameUrl ← EIO.catchExceptions (h := fun _ => pure false) <| show IO Bool from do
     let some remoteUrl ← repo.getRemoteUrl? | return false
+    if remoteUrl = url then return true
     return (← IO.FS.realPath remoteUrl) = (← IO.FS.realPath url)
   if sameUrl then
     updateGitPkg repo rev? name
diff --git a/src/lake/tests/clone/test.sh b/src/lake/tests/clone/test.sh
index cb92251121..d1da54ad3a 100755
--- a/src/lake/tests/clone/test.sh
+++ b/src/lake/tests/clone/test.sh
@@ -20,12 +20,22 @@ git add --all
 git commit -m "initial commit"
 popd
 
+HELLO_URL="file://$(pwd)/hello"
+
 cd test
 
+$LAKE -R -Kurl="$HELLO_URL" update
+# test that a second `lake update` is a no-op (with URLs)
+# see https://github.com/leanprover/lean4/commit/6176fdba9e5a888225a23e5d558a005e0d1eb2f6#r125905901
+$LAKE -R -Kurl="$HELLO_URL" update | diff - /dev/null
+rm -rf lake-packages
+
 # Test that Lake produces no warnings on a `lake build` after a `lake update`
 # See https://github.com/leanprover/lean4/issues/2427
 
-$LAKE update
+$LAKE -R update
+# test that a second `lake update` is a no-op (with file paths)
+$LAKE -R update | diff - /dev/null
 test -d lake-packages/hello
 # test that Lake produces no warnings
 $LAKE build 3>&1 1>&2 2>&3 | diff - /dev/null