Bradford boss Stuart McCall wants players who have been offered new deals to make their minds up quickly.
Luke O'Brien, Matt Clarke and Leon Osborne are among those who have yet to sign their new contracts, while Peter Thorne is also undecided on his future.
The Bradford boss wants players to make their minds up this week so he can then look to strengthen his squad.
He told the club's official website: "The bottom line is, if they want to go elsewhere for an extra £50 per week, so be it.
"I'm not going to spend all the close season chasing them and, with regard those we've offered deals to, we really need to be sitting down and finalising them this week.
"They've had plenty of time now to discuss it with whoever they need to. Maybe agents have touted them around too, but we have to get it sorted.
"If they want to stay for the right reasons then great, but if they want to move on, that's fine and up to them.
"But I remember going back to being a kid and money wasn't everything. It was about wanting to do what was right for my career.
"That for me is the most important thing and we're not going to be held to ransom.
"I want players who want to play for Bradford City. Hopefully this week we'll get the players who want to be here tied up and then we'll move on."
McCall hopes Zesh Rehman will be one of those who does agree to stay.
"I've agreed everything with Zesh and it's just a matter of putting pen to paper," he said.
"There's just a couple of minor things to iron out with Julian (Rhodes) and Mark (Lawn) but he's shown a great attitude and has taken a real reduction in wages.
"I know categorically he could have got more at a higher division club but wants to come play for us.
"I find that refreshing and positive. That's the type of player we want - someone who is here for the right reasons."
When it comes to strengthening his squad, McCall will look for versatility given the reduced budget at his disposal next season.
"Maybe people who can play in a couple of positions will help and that could be something we'll be looking at," he added.
"But it might be a while before we start bringing people in. We have to wait on those already here who may be going.
"The way things are, I don't expect any of the lads to have moved on - even by the time we come back for pre-season training - so it's a little bit of a difficult situation, but we just have to get on with it."