diff --git a/kernel/bpf/verifier.c b/kernel/bpf/verifier.c
index 4291e6694e68..2d228897ded8 100644
--- a/kernel/bpf/verifier.c
+++ b/kernel/bpf/verifier.c
@@ -1382,7 +1382,7 @@ static int check_packet_ptr_add(struct bpf_verifier_env *env,
 		imm = insn->imm;
 
 add_imm:
-		if (imm <= 0) {
+		if (imm < 0) {
 			verbose("addition of negative constant to packet pointer is not allowed\n");
 			return -EACCES;
 		}
diff --git a/tools/testing/selftests/bpf/test_verifier.c b/tools/testing/selftests/bpf/test_verifier.c
index c55fcbe92f14..262f14770c55 100644
--- a/tools/testing/selftests/bpf/test_verifier.c
+++ b/tools/testing/selftests/bpf/test_verifier.c
@@ -1895,6 +1895,107 @@ static struct bpf_test tests[] = {
 		.result = REJECT,
 		.prog_type = BPF_PROG_TYPE_SCHED_CLS,
 	},
+	{
+		"direct packet access: test11 (shift, good access)",
+		.insns = {
+			BPF_LDX_MEM(BPF_W, BPF_REG_2, BPF_REG_1,
+				    offsetof(struct __sk_buff, data)),
+			BPF_LDX_MEM(BPF_W, BPF_REG_3, BPF_REG_1,
+				    offsetof(struct __sk_buff, data_end)),
+			BPF_MOV64_REG(BPF_REG_0, BPF_REG_2),
+			BPF_ALU64_IMM(BPF_ADD, BPF_REG_0, 22),
+			BPF_JMP_REG(BPF_JGT, BPF_REG_0, BPF_REG_3, 8),
+			BPF_MOV64_IMM(BPF_REG_3, 144),
+			BPF_MOV64_REG(BPF_REG_5, BPF_REG_3),
+			BPF_ALU64_IMM(BPF_ADD, BPF_REG_5, 23),
+			BPF_ALU64_IMM(BPF_RSH, BPF_REG_5, 3),
+			BPF_MOV64_REG(BPF_REG_6, BPF_REG_2),
+			BPF_ALU64_REG(BPF_ADD, BPF_REG_6, BPF_REG_5),
+			BPF_MOV64_IMM(BPF_REG_0, 1),
+			BPF_EXIT_INSN(),
+			BPF_MOV64_IMM(BPF_REG_0, 0),
+			BPF_EXIT_INSN(),
+		},
+		.result = ACCEPT,
+		.prog_type = BPF_PROG_TYPE_SCHED_CLS,
+	},
+	{
+		"direct packet access: test12 (and, good access)",
+		.insns = {
+			BPF_LDX_MEM(BPF_W, BPF_REG_2, BPF_REG_1,
+				    offsetof(struct __sk_buff, data)),
+			BPF_LDX_MEM(BPF_W, BPF_REG_3, BPF_REG_1,
+				    offsetof(struct __sk_buff, data_end)),
+			BPF_MOV64_REG(BPF_REG_0, BPF_REG_2),
+			BPF_ALU64_IMM(BPF_ADD, BPF_REG_0, 22),
+			BPF_JMP_REG(BPF_JGT, BPF_REG_0, BPF_REG_3, 8),
+			BPF_MOV64_IMM(BPF_REG_3, 144),
+			BPF_MOV64_REG(BPF_REG_5, BPF_REG_3),
+			BPF_ALU64_IMM(BPF_ADD, BPF_REG_5, 23),
+			BPF_ALU64_IMM(BPF_AND, BPF_REG_5, 15),
+			BPF_MOV64_REG(BPF_REG_6, BPF_REG_2),
+			BPF_ALU64_REG(BPF_ADD, BPF_REG_6, BPF_REG_5),
+			BPF_MOV64_IMM(BPF_REG_0, 1),
+			BPF_EXIT_INSN(),
+			BPF_MOV64_IMM(BPF_REG_0, 0),
+			BPF_EXIT_INSN(),
+		},
+		.result = ACCEPT,
+		.prog_type = BPF_PROG_TYPE_SCHED_CLS,
+	},
+	{
+		"direct packet access: test13 (branches, good access)",
+		.insns = {
+			BPF_LDX_MEM(BPF_W, BPF_REG_2, BPF_REG_1,
+				    offsetof(struct __sk_buff, data)),
+			BPF_LDX_MEM(BPF_W, BPF_REG_3, BPF_REG_1,
+				    offsetof(struct __sk_buff, data_end)),
+			BPF_MOV64_REG(BPF_REG_0, BPF_REG_2),
+			BPF_ALU64_IMM(BPF_ADD, BPF_REG_0, 22),
+			BPF_JMP_REG(BPF_JGT, BPF_REG_0, BPF_REG_3, 13),
+			BPF_LDX_MEM(BPF_W, BPF_REG_3, BPF_REG_1,
+				    offsetof(struct __sk_buff, mark)),
+			BPF_MOV64_IMM(BPF_REG_4, 1),
+			BPF_JMP_REG(BPF_JGT, BPF_REG_3, BPF_REG_4, 2),
+			BPF_MOV64_IMM(BPF_REG_3, 14),
+			BPF_JMP_IMM(BPF_JA, 0, 0, 1),
+			BPF_MOV64_IMM(BPF_REG_3, 24),
+			BPF_MOV64_REG(BPF_REG_5, BPF_REG_3),
+			BPF_ALU64_IMM(BPF_ADD, BPF_REG_5, 23),
+			BPF_ALU64_IMM(BPF_AND, BPF_REG_5, 15),
+			BPF_MOV64_REG(BPF_REG_6, BPF_REG_2),
+			BPF_ALU64_REG(BPF_ADD, BPF_REG_6, BPF_REG_5),
+			BPF_MOV64_IMM(BPF_REG_0, 1),
+			BPF_EXIT_INSN(),
+			BPF_MOV64_IMM(BPF_REG_0, 0),
+			BPF_EXIT_INSN(),
+		},
+		.result = ACCEPT,
+		.prog_type = BPF_PROG_TYPE_SCHED_CLS,
+	},
+	{
+		"direct packet access: test14 (pkt_ptr += 0, CONST_IMM, good access)",
+		.insns = {
+			BPF_LDX_MEM(BPF_W, BPF_REG_2, BPF_REG_1,
+				    offsetof(struct __sk_buff, data)),
+			BPF_LDX_MEM(BPF_W, BPF_REG_3, BPF_REG_1,
+				    offsetof(struct __sk_buff, data_end)),
+			BPF_MOV64_REG(BPF_REG_0, BPF_REG_2),
+			BPF_ALU64_IMM(BPF_ADD, BPF_REG_0, 22),
+			BPF_JMP_REG(BPF_JGT, BPF_REG_0, BPF_REG_3, 7),
+			BPF_MOV64_IMM(BPF_REG_5, 12),
+			BPF_ALU64_IMM(BPF_RSH, BPF_REG_5, 4),
+			BPF_MOV64_REG(BPF_REG_6, BPF_REG_2),
+			BPF_ALU64_REG(BPF_ADD, BPF_REG_6, BPF_REG_5),
+			BPF_LDX_MEM(BPF_B, BPF_REG_0, BPF_REG_6, 0),
+			BPF_MOV64_IMM(BPF_REG_0, 1),
+			BPF_EXIT_INSN(),
+			BPF_MOV64_IMM(BPF_REG_0, 0),
+			BPF_EXIT_INSN(),
+		},
+		.result = ACCEPT,
+		.prog_type = BPF_PROG_TYPE_SCHED_CLS,
+	},
 	{
 		"helper access to packet: test1, valid packet_ptr range",
 		.insns = {