Spurs played out a 0-0 draw at Lazio in the Europa League on Thursday, which the Hammers boss suspects might leave them vulnerable just three days later.
Allardyce also feels that Tottenham's home form – just two wins from six games – has been far from strong this season and hopes that his men can take advantage.
"There is bound to be a little fatigue in there," he told reporters.
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|16/1||West Ham are 16/1 with Bet365 to beat Tottenham 1-0 on Sunday|
The 58-year-old coach wants West Ham, who are two places above Andre Villas-Boas's side in seventh, to attack Tottenham in what he believes will be a special fixture.
He continued: "Local derbies are always very special, and fans and players closely associated with West Ham are really attracted to those type of fixtures.
"Our hope is to take our game to Tottenham and cause them a few problems."