Golas from Luka Modric and Jermain Defoe helped Tottenham to a 2-0 win against The Hammers on Monday and moved them back into the top four in the Premier League table.
"It was a game we dominated but when you're only 1-0 up you fear that sooner or later they will make a chance," Redknapp said after the match.
"We needed a second goal and eventually it came but overall we were stronger than them today, there's no doubt about that. We played well and were always in control.
"I've got a luxury that Gianfranco hasn't - strong players to bring in who don't weaken your team in any way, shape or form. Whoever comes in at the moment is doing well and a fourth clean sheet in a row shows we're a force. We can beat anyone on our day.
"We're not looking at anybody in the January transfer window, I cant stand here and say we've made contact with any clubs over any players. If players leave we'll see if we need to replace them and strengthen in areas, but there are no plans to at the moment."