Houllier came under fire from Villa supporters during and after the 1-0 home Barclays Premier League reversal against Wolves on Saturday.
Fans chanted 'Houllier out' and 'You're getting sacked in the morning' after the final whistle as Villa dropped to within a point of the bottom three.
But Villa officials are adamant that Houllier will remain in charge and are confident the midlands club will survive in the top flight.
A senior Villa source said: "Saturday was a bitterly disappointing day but nothing has changed.
"We remain committted to the same long-term strategy. It's important we show unity from the boardroom to the management, from the terraces to the players."
Source: PA
Source: PA