And the SFA hope to cash in on the excitement surrounding the talented Terrors by staging the game in their backyard.
Stark will use the match to cast his eye over his squad ahead of their vital UEFA European Under-21 Championship qualifying match against the Netherlands in May.
Scotland are currently fourth in Qualifying Group Three, six points behind leaders Slovakia - who they shared a 1-1 draw with at St Mirren Park last time out - with three matches remaining and one game in hand.
Stark said: "We're grateful to Dundee United for allowing us to play our first under-21 fixture of the year at Tannadice.
"It's been well-documented just how talented some of the young players they have at the club are and I'm sure some of those players will be involved in this match.
"We're getting into the final stages of our European qualifying campaign so it's important we prepare as best we can and Hungary will provide us with a real test.
"They've picked up a couple of good results in their own qualifying group and will look to cause us some problems.
"I'll be hoping for a good performance from the team but we'll be trying to win the match and entertain the supporters that come along to Tannadice.
"This will be our last match before we play the Netherlands in May and we want to go into that game in a confident frame of mind."
- Sports & Recreation
- Billy Stark
- Ryan Gauld