"We're going away to Austria next week and it's important that I can get players in to go there."
Having already brought in one new full-back, Swansea City's Kevin Amankwaah on a free transfer, Malpas is now believed to have made a six-figure offer for Scotland Under-21 international Mulgrew, who is also being chased by Southend.
Left back Mulgrew continues to top Swindon's wanted list
"We put our offer in and Wolves came back with a counter offer," he said. "In terms of valuations I don't think there's that much between us.
"But it's just a case of how it's achieved. I'm hoping for an answer by the end of the week."
Meanwhile, Malpas wants a quick decision from Jones, 21, who has played on loan at Colchester, Barnsley and Yeovil.
"I'm expecting his agent to tell me in the next couple of days whether it's a yes or a no," said Malpas. "Ritchie has really just got to decide where he wants to go.
"I'm told there are another couple of clubs interested in him.
I haven't made my mind up on what I will take to the table for Josh Low, so I'm probably delaying that one more than he is
Maurice Malpas
"I don't think it's about money. I think it's really to do with whether he wants to move from the area he lives in now, that's the impression that I get."
Malpas also revealed that experienced Peterborough United winger Josh Low is another player on his radar.
"I was keen for him to come on loan for a six-month spell," said Malpas. "But he's got family and he's looking for a more permanent deal.
"It's what I can take to the table for him. And is it good enough for him?
"At the moment I haven't made my mind up on what I will take to the table for him so I'm probably delaying that one more than he is."
Low is also thought to be interesting League One rivals Cheltenham.
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