Slaven Bilic wants to make new signings at Upton Park.
Bilic, 46, was appointed West Ham's new manager earlier this week, returning to Upton Park having played for the Hammers as a defender in the 1990's.
The Croatian replaces Allardyce, who left the club just minutes after the 2-0 defeat to Newcastle United on the final day of the Premier League season.
It was another disappointing season for 'Big Sam', with a 12th place finish not enough to keep him in the job after just three Premier League wins in 2015.
The Hammers have though qualified for the preliminary rounds of the Europa League by virtue of their Fair Play record, meaning Bilic has an immediate chance to impress the West Ham faithful this summer.
Yet, in order to make an impact in Europe and achieve at top ten finish in the Premier League, Bilic will need new signings this summer to strengthen a squad which lacks depth.
The new manager told The Sun that, whilst he is 'grateful' to Allardyce for assembling a good squad, he must add more quality this summer to achieve his goals - and called on the team to be more consistent next season.
"Sam left behind a good team. They are in good shape and I’m grateful for it," said Bilic. "The team is good but, as at any team, we’re going to try to make it better and we’re going to buy some new players. We must now find a way to make the team more consistent for the whole season," he added.