Everton face competition from West Ham United and Newcastle United for the signature of Sam Byram despite agreeing a deal with Leeds United for their homegrown defender.

Leeds have accepted an initial offer of £3.7m plus add-ons from Everton for the 22-year-old, who is out of contract at the end of the season and has rejected an extension at Elland Road until 2017. Byram has made 143 appearances for the Championship club since graduating from their academy, playing in midfield this season, and has been given permission to discuss personal terms with Everton.

Roberto Martínez hopes to secure the England youth international’s signature swiftly, with Seamus Coleman out for another fortnight with a calf injury and another right-back, Tyias Browning, sidelined for the rest of the season with a knee problem.

But West Ham and Newcastle have also made an approach for Byram and the right-back will have several options to consider this month.

“I would say so, yes,” said Martínez on Byram having rival suitors. “He is a young man with a lot of experience of the Championship but his next step needs to be a good step for Sam and his family. It is not going to happen overnight. As a football club we’ve done everything we can do so far in registering our interest.

“There is nothing concrete. It is still in the early stages and everything will develop over the next few days. It is looking more like Monday before anything else happens. We have a good relationship with Leeds and we will be allowed to speak to the player.”

The Leeds manager, Steve Evans, has said he expects Byram to play against Sheffield Wednesday on Saturday if the move to Everton is not concluded on Friday. Evans said: “If nothing is concluded with Sam today, I will see with the president if I can have him in my team tomorrow. I’m expecting Sam Byram in this morning and I’m expecting him to train.”

Martínez insists he has no issue with Byram competing in a Yorkshire derby. “Sam is a Leeds United player,” he said. “That is why I never agree with the window being open while teams have got important games. We will see what develops over the weekend.”