Sky Bet slashed the Black Cats chief's odds from 16/1 to 6/4 on Monday as it was thought SAFC had held an emergency meeting.
Sunderland, currently sit bottom of the Premier League and travel to Manchester City on Wednesday night, before a trip to Chelsea on Saturday.
Sky Bet's Dale Tempest said: "We cut Poyet to 12/1 this afternoon but the money just kept on coming even after eventually being backed in to 13/8."
The meeting was called because Poyet made this amazing statement this morning ...
Gus Poyet: “I think there’s something wrong in the football club and it’s not an excuse. I need to find that.
"If I don’t find it, we’ve got a problem.
“I think I know what it is but no, I don’t. You know, you think. It’s too many times, too many things.
"I always say to myself ‘What happened with Brucie in the second year?’, ‘What happened with Martin O’Neill?’, ‘What happened with Di Canio?’ and what happens with me now?
“I don’t want to get away from the responsibility because I said on Monday night I am responsible. I am the first one.
"But who is going to be next? A, B, C – you can call him anything and the club will be in the same situation. I don’t like it, it’s not me. I need to find the solution and whatever it is, I need to put it there.
“I said too many times I cannot promise I will get this club safe because it would be silly.
“I think this team needs an electric shock.
“When last year, Paolo Di Canio got here, it was a shock. When I got here, we had a shock – we beat Newcastle and Man City and it was a big impact and a change of philosophy and way of working.
"Then we were so-so and we had a couple of results in December because Marcos (Alonso) was already with us and there were new players coming and the cup was another shock that put us in a great situation.
“As soon as we didn’t play anymore for that, it’s back to basics. It’s back to whatever you do, there is an own goal, whatever you do there is a sending off.
“What is going to happen to us that is new on Wednesday? We can have a bet.
“What is going to happen on Wednesday?
“I don’t want to rebuild. I didn’t come to Sunderland to rebuild nothing, I want to be part of a process and to be something that gets better all the time.”
