diff --git a/lib/test_bpf.c b/lib/test_bpf.c
index 2fb31aa89b9d..8f22fbedc3a6 100644
--- a/lib/test_bpf.c
+++ b/lib/test_bpf.c
@@ -2565,6 +2565,70 @@ static struct bpf_test tests[] = {
 		{ },
 		{ { 0, 0x1 } },
 	},
+	{
+		"ALU_ADD_K: 0 + 0xffff = 0xffff",
+		.u.insns_int = {
+			BPF_LD_IMM64(R2, 0x0),
+			BPF_LD_IMM64(R3, 0xffff),
+			BPF_ALU32_IMM(BPF_ADD, R2, 0xffff),
+			BPF_JMP_REG(BPF_JEQ, R2, R3, 2),
+			BPF_MOV32_IMM(R0, 2),
+			BPF_EXIT_INSN(),
+			BPF_MOV32_IMM(R0, 1),
+			BPF_EXIT_INSN(),
+		},
+		INTERNAL,
+		{ },
+		{ { 0, 0x1 } },
+	},
+	{
+		"ALU_ADD_K: 0 + 0x7fffffff = 0x7fffffff",
+		.u.insns_int = {
+			BPF_LD_IMM64(R2, 0x0),
+			BPF_LD_IMM64(R3, 0x7fffffff),
+			BPF_ALU32_IMM(BPF_ADD, R2, 0x7fffffff),
+			BPF_JMP_REG(BPF_JEQ, R2, R3, 2),
+			BPF_MOV32_IMM(R0, 2),
+			BPF_EXIT_INSN(),
+			BPF_MOV32_IMM(R0, 1),
+			BPF_EXIT_INSN(),
+		},
+		INTERNAL,
+		{ },
+		{ { 0, 0x1 } },
+	},
+	{
+		"ALU_ADD_K: 0 + 0x80000000 = 0x80000000",
+		.u.insns_int = {
+			BPF_LD_IMM64(R2, 0x0),
+			BPF_LD_IMM64(R3, 0x80000000),
+			BPF_ALU32_IMM(BPF_ADD, R2, 0x80000000),
+			BPF_JMP_REG(BPF_JEQ, R2, R3, 2),
+			BPF_MOV32_IMM(R0, 2),
+			BPF_EXIT_INSN(),
+			BPF_MOV32_IMM(R0, 1),
+			BPF_EXIT_INSN(),
+		},
+		INTERNAL,
+		{ },
+		{ { 0, 0x1 } },
+	},
+	{
+		"ALU_ADD_K: 0 + 0x80008000 = 0x80008000",
+		.u.insns_int = {
+			BPF_LD_IMM64(R2, 0x0),
+			BPF_LD_IMM64(R3, 0x80008000),
+			BPF_ALU32_IMM(BPF_ADD, R2, 0x80008000),
+			BPF_JMP_REG(BPF_JEQ, R2, R3, 2),
+			BPF_MOV32_IMM(R0, 2),
+			BPF_EXIT_INSN(),
+			BPF_MOV32_IMM(R0, 1),
+			BPF_EXIT_INSN(),
+		},
+		INTERNAL,
+		{ },
+		{ { 0, 0x1 } },
+	},
 	{
 		"ALU64_ADD_K: 1 + 2 = 3",
 		.u.insns_int = {
@@ -2657,6 +2721,70 @@ static struct bpf_test tests[] = {
 		{ },
 		{ { 0, 0x1 } },
 	},
+	{
+		"ALU64_ADD_K: 0 + 0xffff = 0xffff",
+		.u.insns_int = {
+			BPF_LD_IMM64(R2, 0x0),
+			BPF_LD_IMM64(R3, 0xffff),
+			BPF_ALU64_IMM(BPF_ADD, R2, 0xffff),
+			BPF_JMP_REG(BPF_JEQ, R2, R3, 2),
+			BPF_MOV32_IMM(R0, 2),
+			BPF_EXIT_INSN(),
+			BPF_MOV32_IMM(R0, 1),
+			BPF_EXIT_INSN(),
+		},
+		INTERNAL,
+		{ },
+		{ { 0, 0x1 } },
+	},
+	{
+		"ALU64_ADD_K: 0 + 0x7fffffff = 0x7fffffff",
+		.u.insns_int = {
+			BPF_LD_IMM64(R2, 0x0),
+			BPF_LD_IMM64(R3, 0x7fffffff),
+			BPF_ALU64_IMM(BPF_ADD, R2, 0x7fffffff),
+			BPF_JMP_REG(BPF_JEQ, R2, R3, 2),
+			BPF_MOV32_IMM(R0, 2),
+			BPF_EXIT_INSN(),
+			BPF_MOV32_IMM(R0, 1),
+			BPF_EXIT_INSN(),
+		},
+		INTERNAL,
+		{ },
+		{ { 0, 0x1 } },
+	},
+	{
+		"ALU64_ADD_K: 0 + 0x80000000 = 0xffffffff80000000",
+		.u.insns_int = {
+			BPF_LD_IMM64(R2, 0x0),
+			BPF_LD_IMM64(R3, 0xffffffff80000000LL),
+			BPF_ALU64_IMM(BPF_ADD, R2, 0x80000000),
+			BPF_JMP_REG(BPF_JEQ, R2, R3, 2),
+			BPF_MOV32_IMM(R0, 2),
+			BPF_EXIT_INSN(),
+			BPF_MOV32_IMM(R0, 1),
+			BPF_EXIT_INSN(),
+		},
+		INTERNAL,
+		{ },
+		{ { 0, 0x1 } },
+	},
+	{
+		"ALU_ADD_K: 0 + 0x80008000 = 0xffffffff80008000",
+		.u.insns_int = {
+			BPF_LD_IMM64(R2, 0x0),
+			BPF_LD_IMM64(R3, 0xffffffff80008000LL),
+			BPF_ALU64_IMM(BPF_ADD, R2, 0x80008000),
+			BPF_JMP_REG(BPF_JEQ, R2, R3, 2),
+			BPF_MOV32_IMM(R0, 2),
+			BPF_EXIT_INSN(),
+			BPF_MOV32_IMM(R0, 1),
+			BPF_EXIT_INSN(),
+		},
+		INTERNAL,
+		{ },
+		{ { 0, 0x1 } },
+	},
 	/* BPF_ALU | BPF_SUB | BPF_X */
 	{
 		"ALU_SUB_X: 3 - 1 = 2",