Perrie and Zayn, both 18, were romantically linked after they met during filming for this year's X Factor charity single Wishing On A Star.
However, Edwards has now switched her attention to music.
She said she has 'not got the time' for a relationship with the boyband star after her group won The X Factor final on Sunday night.
According to British newspaper The Sun, Perrie said: 'There are no boys for us. We're going to be like nuns.'
Her relationship with Zayn - and One Direction's support for Little Mix - helped the girls win the competition.
She added: 'They were so nice and gave us loads of advice.
'But right now I haven't got the time for romance. It's all about the music, the tour and then the album.'