The squad travel to Stockholm on 6 August to face AIK in the final match of Tour 2013, presented by Aon.
Jesper, who was in the Swedish capital last week to launch the match, is expecting an entertaining affair and a stern examination for the visitors.
"AIK are one of the best teams in Sweden. They've struggled a little in the first part of this season, but they have a strong side and they will be even stronger when United are here," the former Red told MUTV. "It's a good game for them to play and they will be really charged up for it.
"It's the last game of the pre-season tour and it will be good to have a game like this against a team who are up to speed 100 per cent physically and in top form. It'll be a good game for United and, of course, the players will be doing their best to prove themselves to David Moyes and show that he should be picking them in his first XI.
"The game will be played in a great stadium," he added. "It's newly built with a closable roof but hopefully we won't need to do that in August! It's a great arena with a great atmosphere.
"The fans are very excited to have United coming to Stockholm and I'm sure Friends Arena will be a sell-out." You can book tickets online now via Ticnet in English or Swedish.