Liam Walsh and Jamie Paterson have attracted late transfer interest on deadline day.
Walsh - who joined the Swans as a free agent last summer - could potentially leave the club on loan while further clubs have made enquiries over Paterson's situation.
It comes as Swansea eye a late deadline day swoop for Shrewsbury Town defender Nathaneal Ogbeta.
The Swans have been determined to add a left wing-back to their ranks having allowed Jake Bidwell to join Coventry City earlier this month.
And they believe a sum worth around £300,000 would be enough to secure the services of ex-Manchester City youngster Ogbeta.
Yan Dhanda is now expected to remain at Swansea, despite the fact head coach Russell Martin recently revealed the attacker was close to securing a loan exit from the club.
The Swans - with little more than two hours remaining until Monday's 11pm deadline - expect to keep hold of Jamie Paterson.
They have rejected three bids from Championship rivals Queens Park Rangers for the services of the 30-year-old - who is under contract at Swansea until the summer of 2023.
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