Wasps expect to discover by the end of the week whether Leigh Halfpenny will join the Aviva Premiership club next season.
Wales full-back Halfpenny continues to deliberate over staying on at Toulon, switching to Wasps or returning to one of the Welsh regions.
Wasps rugby director Dai Young has been careful not to rush the British and Irish Lions star's "massive decision", but now anticipates a quick resolution.
Young also revealed captain James Haskell is close to completing a new contract with first club Wasps, the side he returned to in 2012 after stints in France, New Zealand and Japan.
"We're hoping we'll get an answer on the Leigh Halfpenny situation this week," Young told Press Association Sport.
"We genuinely don't know what he's doing as it stands.
"If you look at all the comments from the people he's talking to, I think everybody's scratching their heads about it to be honest.
"Obviously he's got a number of decisions to make, and he's taking a bit of time out to sit back and make a decision.
"But we expect a decision this week.
"It would be fantastic if he decides to come to Wasps, it would be great for us both on and off the field, but if he doesn't, he doesn't.
"But certainly we haven't had any contact over the last week or so.
"The feedback we've had is that he's going to make a decision but that he needed a little bit of time away, which is understandable.
It is a massive decision, I know he's got options to stay in France, he's got a chance to go back to Wales and there are one or two teams in England who have shown interest as well.
"Quality players are always going to have options, so it's only reasonable and the right thing to do that he has a little bit of time away from it all, doesn't talk to anyone and really sits and thinks about what option is best for him and his family.
"We'd be over the moon if Leigh does come but he's got big decisions to make really."
Flanker Haskell recently admitted he was striving hard for a new Wasps deal, and now boss Young has revealed only formalities remain on fresh terms.
Former Wales prop Young tipped Haskell to remain part of Eddie Jones' new-look England squad for the fast-approaching Six Nations.
"We're more or less well down the road on that, so we'd expect that to be sorted very quickly," said Young of Haskell's potential new deal.
"It's an easy one for us - we want to keep James and he wants to stay.
"So we'd expect that to be sorted within the next week.
"It's great news that he wants to stay and help us in the journey we're on to move this club forward.
"James has the right mindset, he wants to keep improving and he's hungry to continue playing for England.
"I know I'm biased and I won't hide that but I don't see many better options for England than James out there at the minute.
"And we forget he's only 30 so there's no reason why he couldn't play until the next World Cup.
"I think he's a genuine option to go right through to the next World Cup, so I'd be very surprised if he wasn't in the mix really."