diff --git a/.changelog/5095.internal.md b/.changelog/5095.internal.md
index 82296879f85..565a426645c 100644
--- a/.changelog/5095.internal.md
+++ b/.changelog/5095.internal.md
@@ -1,3 +1 @@
-go/go.mod: Bump golang.org/x/net to 0.4.0
-
-Bumped as previous version 0.3.0 has a know vulnerability (see GO-2022-1144).
+go: Bump golang.org/x/net to 0.13.0
diff --git a/.changelog/5337.internal.md b/.changelog/5337.internal.md
new file mode 100644
index 00000000000..565a426645c
--- /dev/null
+++ b/.changelog/5337.internal.md
@@ -0,0 +1 @@
+go: Bump golang.org/x/net to 0.13.0
diff --git a/go/go.mod b/go/go.mod
index fd404e2f6da..ca696836072 100644
--- a/go/go.mod
+++ b/go/go.mod
@@ -55,7 +55,7 @@ require (
 	go.uber.org/zap v1.24.0
 	golang.org/x/crypto v0.11.0
 	golang.org/x/exp v0.0.0-20230321023759-10a507213a29
-	golang.org/x/net v0.10.0
+	golang.org/x/net v0.13.0
 	google.golang.org/genproto v0.0.0-20230410155749-daa745c078e1
 	google.golang.org/grpc v1.56.2
 	google.golang.org/grpc/security/advancedtls v0.0.0-20221004221323-12db695f1648
diff --git a/go/go.sum b/go/go.sum
index 40507d63238..7d6cb7b4c3f 100644
--- a/go/go.sum
+++ b/go/go.sum
@@ -789,8 +789,8 @@ golang.org/x/net v0.0.0-20201224014010-6772e930b67b/go.mod h1:m0MpNAwzfU5UDzcl9v
 golang.org/x/net v0.0.0-20210119194325-5f4716e94777/go.mod h1:m0MpNAwzfU5UDzcl9v0D8zg8gWTRqZa9RBIspLL5mdg=
 golang.org/x/net v0.0.0-20210226172049-e18ecbb05110/go.mod h1:m0MpNAwzfU5UDzcl9v0D8zg8gWTRqZa9RBIspLL5mdg=
 golang.org/x/net v0.0.0-20210405180319-a5a99cb37ef4/go.mod h1:p54w0d4576C0XHj96bSt6lcn1PtDYWL6XObtHCRCNQM=
-golang.org/x/net v0.10.0 h1:X2//UzNDwYmtCLn7To6G58Wr6f5ahEAQgKNzv9Y951M=
-golang.org/x/net v0.10.0/go.mod h1:0qNGK6F8kojg2nk9dLZ2mShWaEBan6FAoqfSigmmuDg=
+golang.org/x/net v0.13.0 h1:Nvo8UFsZ8X3BhAC9699Z1j7XQ3rsZnUUm7jfBEk1ueY=
+golang.org/x/net v0.13.0/go.mod h1:zEVYFnQC7m/vmpQFELhcD1EWkZlX69l4oqgmer6hfKA=
 golang.org/x/oauth2 v0.0.0-20180821212333-d2e6202438be/go.mod h1:N/0e6XlmueqKjAGxoOufVs8QHGRruUQn6yWY3a++T0U=
 golang.org/x/oauth2 v0.0.0-20181017192945-9dcd33a902f4/go.mod h1:N/0e6XlmueqKjAGxoOufVs8QHGRruUQn6yWY3a++T0U=
 golang.org/x/oauth2 v0.0.0-20181203162652-d668ce993890/go.mod h1:N/0e6XlmueqKjAGxoOufVs8QHGRruUQn6yWY3a++T0U=