The world number five will take on the Belgian in the opening match on centre court when the championships get underway tomorrow.
The Scot told the tournament's website: "He's played some very good tennis on the big stages before. I think he played Roger [Federer] a few years ago at the French Open and pushed him close in four sets.
"I think he also played Novak [Djokovic] in one of the slams on the hard courts before and had a tight three-set match with him. He's a solid player in all parts of the court. It will be a tricky match."
Goffin is currently ranked 104th in the world.