Bookmakers have installed Bilic as the next top-flight boss to lose his job after West Ham's dismal start to the season.
"It is unfair that in such a short period that managers are under pressure", he said.
The creative maestro, who also missed out on Argentina's most recent World Cup qualifiers through his spell on the sidelines, will be a welcome addition to West Ham's squad, which will also likely see Michail Antonio feature once again after a swift recovery from an issue picked up during the 3-2 defeat to Tottenham Hotspur last time out.
"It was a derby game; a special game", said Bilic.
"I know Slaven, I met him when he was at Besiktas and he has a lot of passion and experience".
"Personally, I think West Ham have the attacking players at their disposal who are capable of hurting Swansea, although as I've mentioned they will need to show a bit more resolve defensively".
Jelena Ostapenko battles back to beat Garbine Muguruza — WTA Wuhan
The Slovakian was beaten 6-3 7-5 by Caroline Garcia, continuing the Frenchwoman's impressive season. Two of 2017's grand slam champions will face off in the quarter-finals of the Wuhan Open.
The defeat to Spurs - which saw West Ham fight back after falling 3-0 behind - stopped a mini-Hammers revival which had seen them pick up four points from two games.
With Tuchel's refusal, West Ham is claimed to to turn its attention to David Wagner, Slavisa Jokanovic, and Maurizio Sarri.
"Their first three games were away from home which has not helped them".
The game against the Swans is certainly one that they are capable of getting points from and should they end up losing, then there is a good chance that Bilic will be sacked.
Stewart Robson breaks down Tottenham's win over West Ham.