Emmanuel Adebayor almost joined West Ham this winter
The Hammers were on the verge of landing Togo international Adebayor but saw the move fall down as Carlton Cole's switch to West Brom collapsed.
Adebayor has scored just twice for Spurs all season and last started a Premier League game in November.
And Allardyce believes his side hasn't missed out too much by failing to land the 30-year-old.
"A lot of moves were blocked for various different reasons so I'm not that bothered," he said.
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"From our point of view it left us a bit frustrated, and especially Carlton Cole on the basis that he would've moved had Adebayor joined, as it happened we couldn't afford to let him go.
"At one stage we even thought Mauro Zarate was going to come back, but that didn't happen either.
"It was a frustrating day, originally it didn't look like we were going to be active until the very end, but then we picked up five injuries and now we are very short.
"We don't have a problem with them, it's there decision. If anything that was the only loan available, it just didn't work out at the end."
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