diff --git a/tests/common.sh.in b/tests/common.sh.in
index 7daab2460..08f5e0a77 100644
--- a/tests/common.sh.in
+++ b/tests/common.sh.in
@@ -126,7 +126,7 @@ isDaemonNewer () {
   [[ -n "${NIX_DAEMON_PACKAGE:-}" ]] || return 0
   local requiredVersion="$1"
   local daemonVersion=$($NIX_DAEMON_PACKAGE/bin/nix-daemon --version | cut -d' ' -f3)
-  return [[ $(nix eval --expr "builtins.compareVersions ''$daemonVersion'' ''2.4''") -ge 0 ]]
+  [[ $(nix eval --expr "builtins.compareVersions ''$daemonVersion'' ''$requiredVersion''") -ge 0 ]]
 }
 
 requireDaemonNewerThan () {
diff --git a/tests/eval-store.sh b/tests/eval-store.sh
index 9ab7a87be..679da5741 100644
--- a/tests/eval-store.sh
+++ b/tests/eval-store.sh
@@ -1,6 +1,8 @@
 source common.sh
 
-requireDaemonNewerThan "2.4pre20210727"
+# Using `--eval-store` with the daemon will eventually copy everything
+# to the build store, invalidating most of the tests here
+needLocalStore
 
 eval_store=$TEST_ROOT/eval-store
 
diff --git a/tests/structured-attrs.sh b/tests/structured-attrs.sh
index e585ce37f..378dbc735 100644
--- a/tests/structured-attrs.sh
+++ b/tests/structured-attrs.sh
@@ -2,7 +2,7 @@ source common.sh
 
 # 27ce722638 required some incompatible changes to the nix file, so skip this
 # tests for the older versions
-requireDaemonNewerThan "2.4pre20210622"
+requireDaemonNewerThan "2.4pre20210712"
 
 clearStore