The 19-year-old is currently in Poland with England Under-21s and preparing for Friday's opening Group A game against Sweden
Newcastle and Brighton are reportedly keen to take him on loan after he scored 26 goals for Bristol City in a successful loan spell in the Sky Bet Championship last season
But Abraham is willing to wait until after the European Championship to decide his next move
"As far as I am aware, yeah," he said, when asked if his future was still open
" I haven't spoken with Chelsea yet
I am focusing on this tournament so the discussions will happen after
"I'm not too sure (about his future)
Hopefully it will be in the Premier League
"After this season I need to take myself to the next level
That's the type of person I am, I always want to do better
I always want to do more
So going into the new season my aim will be to top this one."
Abraham watched parent club Chelsea win the Premier League last season but insisted he needed to concentrate on his own development before aiming to establish himself at Stamford Bridge
He added: "For me it was more about focusing on myself and trying to build up myself
The players at Chelsea are established in the Premier League and this was my first season
I was trying to build myself up and make a name for myself."
England trained in Kielce for the first time since arriving on Monday with 300 local school children watching the open session on Tuesday morning
They then travelled to the Homo Homini Memorial, which is an abstract representation of two towers pierced by a sharp object to honour the victims of 9/11
Text on one tower commemorates terrorist attacks in Beslan, Moscow, Madrid, Bali, London, Jerusalem, Istanbul, Baghdad, Sri Lanka, and Sharm El Sheikh.
The players and boss Aidy Boothroyd laid candles as the mayor or Kielce, Wojciech Lubawski, laid a wreath during a brief ceremony.
Source : PA
Source: PA