The Scottish champions came out top in our fan poll with 35%. A glamour tie against Real Madrid was the second most popular choice (24%), followed by AC Milan (15%) and Valencia (10%).
Porto (9%) and Shakhtar Donetsk (7%) were the least favoured of the six teams with whom Sir Alex’s men can potentially be paired over two legs.
The Reds played Celtic in pre-season in 2010, but the sides last met competitively in the 2008/09 Champions League group stage. United won 3-0 at Old Trafford but needed a late goal by Ryan Giggs to rescue a 1-1 draw at Celtic Park.
The draw for the last 16 takes place in Nyon, Switzerland at 10:30 GMT on Thursday and we will have live coverage in our Today at Old Trafford rolling blog, followed by all the reaction from the United camp.