Abraham, a product of Chelsea's youth academy, made two senior appearances for Chelsea in 2016 before being sent on a season-long loan spell at Championship side Bristol City, where he scored 26 goals in over 40 appearances for the club.
"I haven't spoken with Chelsea yet. I am focusing on this tournament so the discussions will happen after," Abraham told reporters.
Bristol City's Tammy Abraham celebrates scoring their goal
Image credit: Reuters
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"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."
The England team start their European Championships campaign against Sweden under-21 on June 16.
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