Hearts have told midfielder Scott Robinson and winger David Smith they are free to find new clubs.
Both players remain part of the first-team squad at Tynecastle but have been informed they are surplus to requirements and can leave without a transfer fee.
Robinson and Smith are keen to play regular first-team football but Hearts cannot guarantee them game time having signed 11 new players this summer. Hearts have strong competition in most positions and are prepared to release both players immediately if they can find new clubs.
Robinson is 22 and is in the final year of his contract having joined Hearts as a youth player eight years ago. He has made more than 100 first-team appearances but now finds himself behind Morgaro Gomis, Prince Buaben and Jason Holt in the pecking order for central midfield berths, with teenagers Angus Beith and Sean McKirdy emerging from the Riccarton youth academy.
Smith, 21, is also out of contract at the end of the season. He has been at Tynecastle since the age of ten and has played more than 50 first-team matches having spent time on loan at Raith Rovers. He has Sam Nicholson, Billy King and Jamie Walker competing for places on the wings and also young Nathan Flanagan pushing through from the youths.
Time is running out for Robinson and Smith to arrange moves before the summer transfer window closes on Monday.
Both players have consulted their agents since being told they are free to go and the search is now on for them to find new clubs.
Hearts have said they are happy for both to remain part of their first-team squad until they can negotiate their exits.