The Whites last won at Old Trafford in 1981 when Brian Flynn scored United's winning goal at Manchester United. Flynn is now boss at Swansea.
Smith said in tonight's Yorkshire Evening Post: "It'd be great if we could get a win there. I love playing at Old Trafford for Leeds and it would be nice if we could come away with all three points.
"We've been close a few times without getting a win. I played when Solskjaer scored in the last minute. Even last year we could have had something when Vidukes should have a penalty and then they went and scored.
"If we play like we can and defend like we can, and get enough ball forward then I'm sure we can cause them problems at the back.
"We're all looking forward to it. We've not played like we did against Wolves all season and that came at a good time.
"I'm sure a few teams will have been a bit shocked to see Wolves come to our place and get a performance like that. It should rattle a few cages."