Chelsea have won just two league matches in almost three months and according to The Telegraph, Rosenior is at increasing risk of losing his job at Stamford Bridge.
The Blues are 7 points behind Liverpool who look to secure a Champions League spot this season whilst the West London side continue to drop points.
Rosenior said his team's performance in their defeat by Brighton was both "indefensible" and "unacceptable" as reports claimed he could be let go after the game.
Speaking to betting comparison site, FindSisterSites, Morris admitted that Rosenior is on borrowed time.
“If Rosenior was (Enzo) Maresca or any other manager that hadn’t come in mid-season or doesn’t already have a working relationship with the current hierarchy at the club, then I think you'd have to say, ‘OK, forget them.’
“The Premier League has got another Champions League position and you can finish fifth, and it still looks like we're right up against it to qualify. You'd say if it was any other manager, maybe, I think you'd have to be thinking like that. Now, whether that means his job may be under threat, who knows?
“But like I said, I think he's got quite a lasting relationship with multiple people that are quite high up at the football club. I know obviously there was an interview the other day with one of the owners where he said he ‘thinks’ they're going to stick with Liam. I think it's a difficult question to answer because I think Liam is maybe slightly different to most because of his working relationship with them already.
“If they are going to sack him, what was the point of bringing him in? Especially if some of the reports are true that they might be looking at changing the recruitment policy, which I think is probably one of the biggest problems the club has had for the last few years.”
Chelsea, who are preparing for Sunday’s FA Cup semi-final against Leeds are reportedly reviewing Rosenior’s position this week in what could be a manager shift once again.