The 21-year-old right-back featured in only one Premier League game before joining Luton Town on loan in January.
Drameh turned some heads with his performances for the Hatters in the second half of the campaign and helped them earn promotion.
Luton are keen to sign Drameh permanently in the summer, but Leeds want to keep hold of the player.
Leeds are set to play in the Championship next season following their relegation from the Premier League.
The right-back is open to staying with the Elland Road outfit if they can guarantee him regular game time.
And despite several assurances from the Leeds hierarchy, Drameh will look for evidence during pre-season that he will be guaranteed game time if he stays in Yorkshire.
The Whites have not yet announced their new manager and it remains to be seen whether Drameh will be his first choice right-back.
