The 18-year-old has been a regular member of Gary Locke's squad this season.
A statement on the club's website said: "We would like to wish Adam well. This is a great opportunity for him and we will follow his progress with Swansea with interest.
"We are aware that a number of our younger talented players are attracting the interest of other clubs including English Premier League and Championship.
"These boys are gaining valuable first-team experience at Hearts in a highly-competitive environment and many are also featuring as Scotland
internationalists at their relevant age groups.
"This is clearly providing opportunities for them to expedite their career paths and makes them viable signing targets for other teams.
"However, our position is quite clear that any offer for a Hearts player must firstly mirror our valuation for that player and secondly provide the player with a clear route for progression in his career."