Everton have won just one of the seven games under Unsworth, losing five, and fan opinion turned sharply with their last two outings - a 5-1 home loss to Atalanta and a 4-1 reverse at Southampton.
Unsworth, Everton's Under-23s manager, stepped in to take temporary charge when Ronald Koeman was sacked on October 23, with the club in the relegation zone.
He helped Crystal Palace and Sunderland respectively avoid relegation during the past two seasons and this makes him an ideal appointment considering the situation that Everton are now in.
"I think we need our best players fit, quickly, some proven Premier League recruitment in early January and I think we need to win a couple of games and get confidence flying again".
The Toffees spent more than £140m in the summer but results have been poor.
They are two points above the relegation places and third-from-bottom West Ham United, who they face at Goodison Park on Wednesday.More news: Sadio Mane plays down incident with Jurgen Klopp
Having spent such a short amount of time managing in the Premier League, Portuguese man Marco Silva has rapidly built up a strong reputation as one of the league's most talented young managers.
"Maybe the next step is for "Unsy" is to try and get a decent job which would give him a chance of getting into management level and get a few years under his belt".
They claim the official announcement "could be made soon", even though the English press is still pointing out other names such as Sam Allardyce and Martin O'Neill. It will be "you do what I tell you".
"Sam is a top manager, but I think it would be wrong of me to talk about individuals. It's as simple as that".
It's certainly not the strangest appointment Everton could make right now, as Pulis could look to stabilise the situation at the Merseyside club, strengthen the woeful defence and add to the side in January with whatever budget Farhad Moshiri has remaining.
If Sam gets the job he will load that team with experienced players - with his big hitters.