The 25-year old Wales international is struggling to get back the left-back position he lost when he broke his ankle in September 2012 with youngster Ben Davies ahead of him in the pecking order.
A winter move to Fulham presented itself when the Cottagers showed considerable interest but nothing came of that curiosity, leaving Taylor to sit on the bench at the Liberty Stadium.
However, he is now considering a potential exit from south Wales as he looks to become a regular senior footballer again.
"There was a bid for me from Fulham, it was rejected by the club and that is how football works and that's it," he said.
"It was the club's decision. If they had a price they would have sold me for then at least then I would have known I was not wanted or not needed. It would have made the decision for me.
"As you know my wife was giving birth on transfer deadline day, what was going on was at the back of my mind but I am settled here, I have a house here.
"But ultimately I want to play football and every player would tell you the same. I need games."
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