The owner has admitted they'd love to sign Zlatan Ibrahimovic.
The Hammers are currently coming to the end of a fine first season under Slaven Bilic as they challenge on two fronts.
They are fifth in the table and just a point outside of the Champions League places, while they also have a chance of winning the FA Cup if they can overcome Manchester United in a quarterfinal replay.
The future is certainly looking bright, with transfer rumours in recent months linking them with a move for PSG striker Zlatan Ibrahimovic.
And Sullivan has admitted that a striker is their top priority this summer, adding that they would love to sign the Sweden star if possible.
“We have a list of about ten strikers all over Europe, and most of our money will go into signing a striker," he told talkSPORT.
"That is the plan for next season. I'd love Ibrahimovic from PSG, but whether he'd come to us I don't know. I know he's 34 but he's a fantastic player."
"There are a number of top Premier League players we may be bidding for, top goalscorers, but I can't name them. I can't comment on players from other teams.”
While Ibrahimovic may be a target too far for the Hammers, there is no denying that the club will be an attractive one for players this summer
The situation is looking extremely bright under Bilic at present, and with them moving to the Olympic Stadium next season that will be another big factor in tempting players to London.
If they can also secure Champions League football, then this summer could be one of the best for the Hammers in a number of years.