Chairman Huw Jenkins confirmed the bid but said that Swansea City had not yet rejected or accepted the bid for the player they signed last summer from Wrexham.
Speculation started on Sunday that Taylor may have had a release clause in his contract and Newcastle were showing an interest but it was only Tuesday afternoon that the bid was officially confirmed by either club.
"We have received a proposal from Newcastle regarding Neil,'' confirmed Swans chairman Huw Jenkins via the Swans official website. "But the proposal has not been accepted or rejected at this stage.
"We have received a number of enquiries from different clubs for Neil's services and, like all bids we receive for any of our players, we will be talking it over with him when he returns from a break next week.
"Neil is a player we brought to the club this season from the Conference with Wrexham with a view to him progressing and developing with us over a number of years.
"The last thing on our mind was to sell anyone over the summer.''