He has been a shining light in an otherwise disappointing debut campaign at the London Stadium this season, with West Ham first failing to qualify for the Europa League and then performing averagely in the Premier League.
The Gunners now sit sixth in the Premier League standings, seven points adrift of fourth place Manchester City but with two games in hand on third place Liverpool who are eight points in front. Aaron Ramsey and Oxlade Chamberlain may return for the Gunners.
"I am positive, we are very positive of course", Bilic said.
Such is the closeness of mid table, West Ham are also only three points behind Stoke City in 9th.
Arsenal is facing a goalkeeper crisis, after second-choice David Ospina, was ruled out of Wednesday's Premier League clash with West Ham at home.
Modeste made nine Premier League appearances for Blackburn back in 2011-12 but has gone on to become a feared attacker in Germany. Gunners Manager Arsene Wenger said today that Koscielny has an injury that is "certainly serious", and that he could be out for "a few weeks".
West Ham's injury problems mount up with Winston Reid (groin), Pedro Obiang (ankle), Angelo Ogbonna (keen) and Diafra Sakho (back) are all out.
The Croatian opined about the incredible recovery of Sakho, as the Senegalese international's fitness has drastically improved, from likely being out for the rest of the season after back surgery to possibly being in the 18 against Arsenal.
It is understood that renewed talks will not take place for the foreseeable future but Antonio is happy at the Hammers and is keen to stay - and Bilic says the club will offer him fresh terms in the summer.
Alexis Sanchez has scored four goals and provided one assist in his last two games against West Ham, including a hat-trick in the reverse of this fixture.
After West Ham lost their fourth consecutive league game at Hull City on Saturday, the club's owners felt compelled to issue a statement saying they had "100 percent faith" in the manager.
Martinez has played in the cup competitions for Wenger this season however dealing with the likes of Carroll could be quite daunting.