Paolo Di Canio's exit from Swindon, coupled with West Ham's dip in form, had led to speculation that Gold and his partner David Sullivan were thinking of bringing the Hammers icon in to replace Allardyce at the end of the season.
Gold this morning retweeted posts from two West Ham fans calling for Di Canio to replace Allardyce, as well as two more of the opposing view.
Gold insists the club will not enter talks with Allardyce about extending his contract until the team are safe from relegation.
But he did throw his weight behind the former Blackburn and Newcastle manager this evening with a tweet of his own.
It read: "Always interesting to see the different opinions from people on twitter. My view is clear though - Big Sam is our man! dg."
Allardyce brought West Ham up from the Championship in his first season at Upton Park and they currently sit seven points above the Premier League relegation zone with 12 games of the season remaining.