The Norwich midfielder had been linked with a transfer to Selhurst Park but that appears to have gone cold with Palace set to sign Patrick van Annholt today.
It's understood the Dutch full-back will join from Sunderland for14-million-pounds.
Allardyce says signing Brady is not an option.
Meanwhile, the FA Cup Fourth Round begins this evening.
Derby County host defending Premier League champions Leicester City at the iPro Stadium.
Kick-off is at 7.55pm.
