The Hammers lost 3-2 to Tottenham at the London Stadium in the Premier League on Saturday afternoon.
Spurs were 3-0 up after 60 minutes, but the home side launched a comeback thereafter and scored twice.
It was an overall disappointing day at the office for West Ham, but manager Bilic has suggested that there was one satisfaction - that his side did not fold against their London rivals.
“That is one satisfaction, that we don't stop, we continued to do it and stay in the system and turn the game around so, OK, fair enough,” Bilic told Football.London when pointed out that a lot of teams might have folded but West Ham did not.
“I told the players that they showed character against a top team, if we had a bit more time we could have turned it around."
The defeat to Tottenham means that West Ham are now third from bottom in the Premier League table at the moment.
The Hammers have picked up just four points from six matches and need to put together a run of positive results soon.
The London club will return to acton on Saturday afternoon when they take on Swansea City at the London Stadium in the Premier League.