The West Ham United manager also believes it wouldn't be a shock if his side beat Manchester City in their next outing.
The Hammers have started the season in fine form, with a shock win over Arsenal on the opening weekend followed up by an impressive 3-0 triumph over Liverpool at Anfield.
The capital outfit had found the going tougher in front of their own supporters, though, losing to both Leicester City and Bournemouth, before securing their first home win against Newcastle United on Monday.
And despite being keen to win every contest at Upton Park, Bilic says he wouldn’t swap their heroics on the road for more success on home soil.
“I couldn't predict that we would win against Arsenal and Liverpool and lose against Leicester and Bournemouth,” he told whufc.com.
“I wouldn't swap those two historic wins for the two home defeats. But you want to win at home and that is why the victory over Newcastle was so big because we needed to get a home win.”
Beating Manchester City wouldn't be a shock
The Hammers take on Manchester City next, in what is likely to be another testing encounter for Bilic’s side.
Manuel Pellegrini’s side have started the season on fire, winning all of their five games so far, scoring 11 goals and keeping a clean sheet in each of their successes.
They were beaten by Juventus in the Champions League in midweek, though, to somewhat curtail their momentum, and Bilic says it wouldn’t be a shock if the Hammers were to emerge victorious at the Etihad on Saturday.
“It wouldn't be a shock as we already have two out of two away wins,” he added.
“We know what we need to do to have a chance. They are the favourites of course but I am expecting us to have a good game and if that is the case we will have chances.”