It will be the first clash on American soil for 14 years. Both were preparing for the 1998 World Cup when they recorded a 0-0 draw in Washington in May 1998.
The next meeting at Hampden in November 2005 also ended in a draw. Josh Wolff put the US ahead with a penalty before Andy Webster levelled.
Levein said: “Following the match against Slovenia, this provides another opportunity to get the group together ahead of the World Cup qualifiers.
“We will have an extended period together in May, with a training camp in the USA prior to the match, which is very important.
“We’re all looking forward to this game, which gives us a chance to test ourselves against a nation who are emerging as one of the top sides in world football.”
Winning automatic promotion with Town would free up Rhodes for the trans-Atlantic trip and continue a memorable campaign.
Having scored an Under 23 hat trick in Luxembourg, he followed up with trebles for Town at Exeter and at home to Preston.
Rhodes notched all four Town goals in the memorable pre-Christmas draw against Sheffield Wednesday at Hillsborough, where his dad Andy is goalkeeping coach.
Then came the former Ipswich player’s five-goal haul in the 6-0 win at Wycombe in January, a feat previously achieved by only two Town players, Thirties aces Dave Mangnall and Alf Lythgoe.
Rhodes is firmly on course to become only the eighth player to notch 30 goals in a season for Town.
And with 74 to his credit, he is already ninth in the club’s all-time top scorers list, just one behind Frank Mann, who played from 1912-23.