Think of two different distances so you use your feet and re distance as he comes forward so you can deal with his arms first then move into strike range once they are checked.

If you can check the jab and move under it to the outside of his elbow all the better for you.

A different (not popular) way to do this is to pull your front foot back behind your rear foot,as he come with the left jab switch your feet around his jab so you then check it with your rear arm and move in around the outside of it or go under it; firing a straight left under it to bring his arm down as he retracts it then over the top of it with a bomb with your right hand.
Switch, check with right rear arm, move in and hit low with your left under his arm, turn in and bomb with an over hand right.

Takes practice and impeccable timing, but made easier by large plodding blokes with long arms who hold a jab out or telegraph with the front foot that they are coming now.

If you do the action on bended joints the shots you give him are backed by a lower center of gravity and your thigh muscles,foot and big toe,he'll catch the whole lot.