Taylor missed most of last season after breaking his ankle against Sunderland in September, but had been hoping to reclaim his place from Ben Davies having returned to full fitness.
But, in his first Liberty Stadium start in 11 months against Petrolul Ploiesti last month, he picked up a haematoma which was expected to keep him out for six weeks.
But Taylor has recovered quickly enough to be able to play some part when Swansea kick off the defence of the trophy they won so memorably last season, and hopes his injury jinx is behind him.
"I had a dead leg against Petrolul which would have kept me out for two days and I was going to travel to Tottenham," he said.
"We decided just to leave it for that game and then I'd be back.
"But on the Sunday it re-bled and that's just my luck at the moment.
"I could have been out for eight weeks, but luckily it was just over three and it's great to be out here.
"As soon as it happened I had to go into hospital. It felt like cramp, my leg locked solid and became massive and I was thinking 'what's happened here?'
"It was difficult, I didn't realise how bad it was going to be, but luckily no surgery was required and I hope I have come through it unscathed.
"I was worried, and it wasn't a nice thing to happen because I didn't know what it was.
"I was just unlucky and it was annoying because it was a trauma injury, it's not like a pulled hamstring or something.
"Luckily I've got back quick. Hopefully that is hospitals and I done for a while."
Swansea's Wembley win over Bradford back in February meant the club picked up the first major honour in their 101-year history.
It also secured passage into the Europa League, giving manager Michael Laudrup an extra competition to consider when it comes to handling his squad.
But Taylor sees no reason why the Capital One Cup should be bottom of their list of priorities.
"We could have said this competition was not important last season, and that staying in the Premier League was the most important thing," he said.
"But games like this build momentum.
"We have to go there, perform as we've been performing, hopefully Birmingham aren't great on the night and we can get the result."
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