Cardiff have spent almost £30m in the transfer market this summer but failed to trouble goalkeeper Jussi Jaaskelainen at any point as West Ham coasted to a 2-0 victory at Upton Park on Saturday.
Allardyce reckons Southampton have set the benchmark with their recovery last season, and that Cardiff boss Malky Mackay should take heart from that.
"With the squad Cardiff have they'll hopefully get the results they're looking for. The challenge for them will be not getting too worried if they don't start well," said Allardyce.
"The example of that is Southampton last season. Nigel Adkins eventually pulled them out of the bottom three superbly well. And his reward for that was the sack.
"If it's to be your first game in the Premier League, you'd want it at home, not away.
"When we came up from the Championship we'd won more games away from home, but last season in the Premier League it was a huge task to pick up points away.
"Your home form is what you need to get right to stay in the Premier League."