diff --git a/tools/testing/selftests/bpf/test_verifier.c b/tools/testing/selftests/bpf/test_verifier.c
index d27fd929abb9..43224c5ec1e9 100644
--- a/tools/testing/selftests/bpf/test_verifier.c
+++ b/tools/testing/selftests/bpf/test_verifier.c
@@ -980,7 +980,7 @@ static void do_test_single(struct bpf_test *test, bool unpriv,
 		}
 	}
 
-	if (test->insn_processed) {
+	if (!unpriv && test->insn_processed) {
 		uint32_t insn_processed;
 		char *proc;
 
diff --git a/tools/testing/selftests/bpf/verifier/bounds.c b/tools/testing/selftests/bpf/verifier/bounds.c
index c42ce135786a..92c02e4a1b62 100644
--- a/tools/testing/selftests/bpf/verifier/bounds.c
+++ b/tools/testing/selftests/bpf/verifier/bounds.c
@@ -523,6 +523,8 @@
 	BPF_LDX_MEM(BPF_DW, BPF_REG_0, BPF_REG_0, -1),
 	BPF_EXIT_INSN(),
 	},
+	.errstr_unpriv = "R0 invalid mem access 'inv'",
+	.result_unpriv = REJECT,
 	.result = ACCEPT
 },
 {
@@ -543,6 +545,8 @@
 	BPF_LDX_MEM(BPF_DW, BPF_REG_0, BPF_REG_0, -1),
 	BPF_EXIT_INSN(),
 	},
+	.errstr_unpriv = "R0 invalid mem access 'inv'",
+	.result_unpriv = REJECT,
 	.result = ACCEPT
 },
 {
diff --git a/tools/testing/selftests/bpf/verifier/dead_code.c b/tools/testing/selftests/bpf/verifier/dead_code.c
index 50a8a63be4ac..a7e60a773da6 100644
--- a/tools/testing/selftests/bpf/verifier/dead_code.c
+++ b/tools/testing/selftests/bpf/verifier/dead_code.c
@@ -8,6 +8,8 @@
 	BPF_JMP_IMM(BPF_JGE, BPF_REG_0, 10, -4),
 	BPF_EXIT_INSN(),
 	},
+	.errstr_unpriv = "R9 !read_ok",
+	.result_unpriv = REJECT,
 	.result = ACCEPT,
 	.retval = 7,
 },
diff --git a/tools/testing/selftests/bpf/verifier/jmp32.c b/tools/testing/selftests/bpf/verifier/jmp32.c
index f0961c58581e..f2fabf6ebc61 100644
--- a/tools/testing/selftests/bpf/verifier/jmp32.c
+++ b/tools/testing/selftests/bpf/verifier/jmp32.c
@@ -72,6 +72,8 @@
 	BPF_LDX_MEM(BPF_B, BPF_REG_8, BPF_REG_9, 0),
 	BPF_EXIT_INSN(),
 	},
+	.errstr_unpriv = "R9 !read_ok",
+	.result_unpriv = REJECT,
 	.result = ACCEPT,
 },
 {
@@ -135,6 +137,8 @@
 	BPF_LDX_MEM(BPF_B, BPF_REG_8, BPF_REG_9, 0),
 	BPF_EXIT_INSN(),
 	},
+	.errstr_unpriv = "R9 !read_ok",
+	.result_unpriv = REJECT,
 	.result = ACCEPT,
 },
 {
@@ -198,6 +202,8 @@
 	BPF_LDX_MEM(BPF_B, BPF_REG_8, BPF_REG_9, 0),
 	BPF_EXIT_INSN(),
 	},
+	.errstr_unpriv = "R9 !read_ok",
+	.result_unpriv = REJECT,
 	.result = ACCEPT,
 },
 {
@@ -265,6 +271,8 @@
 	BPF_LDX_MEM(BPF_DW, BPF_REG_0, BPF_REG_0, 0),
 	BPF_EXIT_INSN(),
 	},
+	.errstr_unpriv = "R0 invalid mem access 'inv'",
+	.result_unpriv = REJECT,
 	.result = ACCEPT,
 	.retval = 2,
 },
@@ -333,6 +341,8 @@
 	BPF_LDX_MEM(BPF_DW, BPF_REG_0, BPF_REG_0, 0),
 	BPF_EXIT_INSN(),
 	},
+	.errstr_unpriv = "R0 invalid mem access 'inv'",
+	.result_unpriv = REJECT,
 	.result = ACCEPT,
 	.retval = 2,
 },
@@ -401,6 +411,8 @@
 	BPF_LDX_MEM(BPF_DW, BPF_REG_0, BPF_REG_0, 0),
 	BPF_EXIT_INSN(),
 	},
+	.errstr_unpriv = "R0 invalid mem access 'inv'",
+	.result_unpriv = REJECT,
 	.result = ACCEPT,
 	.retval = 2,
 },
@@ -469,6 +481,8 @@
 	BPF_LDX_MEM(BPF_DW, BPF_REG_0, BPF_REG_0, 0),
 	BPF_EXIT_INSN(),
 	},
+	.errstr_unpriv = "R0 invalid mem access 'inv'",
+	.result_unpriv = REJECT,
 	.result = ACCEPT,
 	.retval = 2,
 },
@@ -537,6 +551,8 @@
 	BPF_LDX_MEM(BPF_DW, BPF_REG_0, BPF_REG_0, 0),
 	BPF_EXIT_INSN(),
 	},
+	.errstr_unpriv = "R0 invalid mem access 'inv'",
+	.result_unpriv = REJECT,
 	.result = ACCEPT,
 	.retval = 2,
 },
@@ -605,6 +621,8 @@
 	BPF_LDX_MEM(BPF_DW, BPF_REG_0, BPF_REG_0, 0),
 	BPF_EXIT_INSN(),
 	},
+	.errstr_unpriv = "R0 invalid mem access 'inv'",
+	.result_unpriv = REJECT,
 	.result = ACCEPT,
 	.retval = 2,
 },
@@ -673,6 +691,8 @@
 	BPF_LDX_MEM(BPF_DW, BPF_REG_0, BPF_REG_0, 0),
 	BPF_EXIT_INSN(),
 	},
+	.errstr_unpriv = "R0 invalid mem access 'inv'",
+	.result_unpriv = REJECT,
 	.result = ACCEPT,
 	.retval = 2,
 },
@@ -741,6 +761,8 @@
 	BPF_LDX_MEM(BPF_DW, BPF_REG_0, BPF_REG_0, 0),
 	BPF_EXIT_INSN(),
 	},
+	.errstr_unpriv = "R0 invalid mem access 'inv'",
+	.result_unpriv = REJECT,
 	.result = ACCEPT,
 	.retval = 2,
 },
diff --git a/tools/testing/selftests/bpf/verifier/jset.c b/tools/testing/selftests/bpf/verifier/jset.c
index 8dcd4e0383d5..11fc68da735e 100644
--- a/tools/testing/selftests/bpf/verifier/jset.c
+++ b/tools/testing/selftests/bpf/verifier/jset.c
@@ -82,8 +82,8 @@
 	BPF_EXIT_INSN(),
 	},
 	.prog_type = BPF_PROG_TYPE_SOCKET_FILTER,
-	.retval_unpriv = 1,
-	.result_unpriv = ACCEPT,
+	.errstr_unpriv = "R9 !read_ok",
+	.result_unpriv = REJECT,
 	.retval = 1,
 	.result = ACCEPT,
 },
@@ -141,7 +141,8 @@
 	BPF_EXIT_INSN(),
 	},
 	.prog_type = BPF_PROG_TYPE_SOCKET_FILTER,
-	.result_unpriv = ACCEPT,
+	.errstr_unpriv = "R9 !read_ok",
+	.result_unpriv = REJECT,
 	.result = ACCEPT,
 },
 {
@@ -162,6 +163,7 @@
 	BPF_EXIT_INSN(),
 	},
 	.prog_type = BPF_PROG_TYPE_SOCKET_FILTER,
-	.result_unpriv = ACCEPT,
+	.errstr_unpriv = "R9 !read_ok",
+	.result_unpriv = REJECT,
 	.result = ACCEPT,
 },
diff --git a/tools/testing/selftests/bpf/verifier/unpriv.c b/tools/testing/selftests/bpf/verifier/unpriv.c
index c3f6f650deb7..593f5b586e87 100644
--- a/tools/testing/selftests/bpf/verifier/unpriv.c
+++ b/tools/testing/selftests/bpf/verifier/unpriv.c
@@ -418,6 +418,8 @@
 	BPF_LDX_MEM(BPF_DW, BPF_REG_0, BPF_REG_7, 0),
 	BPF_EXIT_INSN(),
 	},
+	.errstr_unpriv = "R7 invalid mem access 'inv'",
+	.result_unpriv = REJECT,
 	.result = ACCEPT,
 	.retval = 0,
 },
diff --git a/tools/testing/selftests/bpf/verifier/value_ptr_arith.c b/tools/testing/selftests/bpf/verifier/value_ptr_arith.c
index 28d44e6aa0b7..a8dab0f58462 100644
--- a/tools/testing/selftests/bpf/verifier/value_ptr_arith.c
+++ b/tools/testing/selftests/bpf/verifier/value_ptr_arith.c
@@ -120,7 +120,7 @@
 	.fixup_map_array_48b = { 1 },
 	.result = ACCEPT,
 	.result_unpriv = REJECT,
-	.errstr_unpriv = "R2 tried to add from different maps, paths or scalars",
+	.errstr_unpriv = "R2 pointer comparison prohibited",
 	.retval = 0,
 },
 {
@@ -159,7 +159,8 @@
 	BPF_MOV64_IMM(BPF_REG_0, 0),
 	BPF_EXIT_INSN(),
 	// fake-dead code; targeted from branch A to
-	// prevent dead code sanitization
+	// prevent dead code sanitization, rejected
+	// via branch B however
 	BPF_LDX_MEM(BPF_B, BPF_REG_0, BPF_REG_0, 0),
 	BPF_MOV64_IMM(BPF_REG_0, 0),
 	BPF_EXIT_INSN(),
@@ -167,7 +168,7 @@
 	.fixup_map_array_48b = { 1 },
 	.result = ACCEPT,
 	.result_unpriv = REJECT,
-	.errstr_unpriv = "R2 tried to add from different maps, paths or scalars",
+	.errstr_unpriv = "R0 invalid mem access 'inv'",
 	.retval = 0,
 },
 {