Beckford scored an impressive 27 league goals for the Whites this term, but disappointingly failed to find the back of the net in their play-off semi-final games with Millwall.
The former Scunthorpe United loanee has one year left on his contract, although his agent Nick Rubery says the 25-year-old needs to know if a new deal - something he will be happy to discuss - is in the offing.
Beckford, who has reportedly been interesting the Sky Blues, is keen to test himself at a higher level, but is not necessarily looking to hand in a transfer request at Elland Road.
"I'll be speaking to Leeds this week to discuss his position," he told the Yorkshire Evening Post.
"He's got a year left on his contract and he needs to know where he stands.
"I don't know what Leeds are thinking with regards to their future plans and what part he might play in them, but it's something I need to clarify.
"Jermaine's scored a lot of goals in League One and he obviously wants to test himself at a higher level, but he's very open to the idea of signing a new contract with Leeds.
"He's not looking to move on, but his situation needs sorting out."