(!unaligned_ok && offset >= 0 &&
              offset + ip_align >= 0 &&
              offset + ip_align % size == 0))) {
+               bool ldx_off_ok = offset <= S16_MAX;
+
                *insn++ = BPF_MOV64_REG(BPF_REG_TMP, BPF_REG_H);
                *insn++ = BPF_ALU64_IMM(BPF_SUB, BPF_REG_TMP, offset);
-               *insn++ = BPF_JMP_IMM(BPF_JSLT, BPF_REG_TMP, size, 2 + endian);
-               *insn++ = BPF_LDX_MEM(BPF_SIZE(fp->code), BPF_REG_A, BPF_REG_D,
-                                     offset);
+               *insn++ = BPF_JMP_IMM(BPF_JSLT, BPF_REG_TMP,
+                                     size, 2 + endian + (!ldx_off_ok * 2));
+               if (ldx_off_ok) {
+                       *insn++ = BPF_LDX_MEM(BPF_SIZE(fp->code), BPF_REG_A,
+                                             BPF_REG_D, offset);
+               } else {
+                       *insn++ = BPF_MOV64_REG(BPF_REG_TMP, BPF_REG_D);
+                       *insn++ = BPF_ALU64_IMM(BPF_ADD, BPF_REG_TMP, offset);
+                       *insn++ = BPF_LDX_MEM(BPF_SIZE(fp->code), BPF_REG_A,
+                                             BPF_REG_TMP, 0);
+               }
                if (endian)
                        *insn++ = BPF_ENDIAN(BPF_FROM_BE, BPF_REG_A, size * 8);
                *insn++ = BPF_JMP_A(8);