diff --git a/tools/testing/selftests/bpf/test_verifier.c b/tools/testing/selftests/bpf/test_verifier.c
index a0591d06c61b..913539aea645 100644
--- a/tools/testing/selftests/bpf/test_verifier.c
+++ b/tools/testing/selftests/bpf/test_verifier.c
@@ -1860,6 +1860,7 @@ static struct bpf_test tests[] = {
 		},
 		.result = REJECT,
 		.errstr = "invalid stack off=-79992 size=8",
+		.errstr_unpriv = "R1 stack pointer arithmetic goes out of range",
 	},
 	{
 		"PTR_TO_STACK store/load - out of bounds high",
@@ -2243,6 +2244,8 @@ static struct bpf_test tests[] = {
 			BPF_EXIT_INSN(),
 		},
 		.result = ACCEPT,
+		.result_unpriv = REJECT,
+		.errstr_unpriv = "R1 stack pointer arithmetic goes out of range",
 	},
 	{
 		"unpriv: cmp of stack pointer",
@@ -7013,6 +7016,7 @@ static struct bpf_test tests[] = {
 		},
 		.fixup_map1 = { 3 },
 		.errstr = "pointer offset 1073741822",
+		.errstr_unpriv = "R0 pointer arithmetic of map value goes out of range",
 		.result = REJECT
 	},
 	{
@@ -7034,6 +7038,7 @@ static struct bpf_test tests[] = {
 		},
 		.fixup_map1 = { 3 },
 		.errstr = "pointer offset -1073741822",
+		.errstr_unpriv = "R0 pointer arithmetic of map value goes out of range",
 		.result = REJECT
 	},
 	{
@@ -7203,6 +7208,7 @@ static struct bpf_test tests[] = {
 			BPF_EXIT_INSN()
 		},
 		.errstr = "fp pointer offset 1073741822",
+		.errstr_unpriv = "R1 stack pointer arithmetic goes out of range",
 		.result = REJECT
 	},
 	{