Whilst the Croatian needs time to assess his squad, he did oversee one signing just a day after his arrival, snapping up Sampdoria midfielder Pedro Obiang.
Now, more reinforcements will be needed ahead of the club's Europa League qualifiers this summer, and right back could be a problem given that loan star Carl Jenkinson has now returned to Arsenal - and The Sun believe that the Hammers have failed in a move to sign Micah Richards.
The 26-year-old is a free agent having seen his Manchester City contract expire, and would have been earmarked as a replacement for Jenkinson, only for the report to suggest that West Ham have now lost out in the race to sign the former England international.
The Sun suggest that it's Aston Villa who West Ham have lost out to in the race to sign Richards, with Tim Sherwood keen to improve his squad this summer.
It's also added that Bilic is looking to add defensive options and will look elsewhere after losing out on Richards, with The Mirror recently reporting that Bilic wants to reunite with former Tottenham defender Vedran Corluka this summer.