Speculation surfaced on the social media site that Sherwood had been involved in an angry confrontation with a member of the Tottenham squad following the Premier League game at Anfield.
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However, former Leeds United winger Lennon has insisted that there is no truth whatsoever in the talk.
Lennon posted on his official Twitter account: "Today was not good enough and we let everyone down, but the rumours about the boss hitting someone are b*******, crazy how powerful twitter is."
A Younes Kaboul own goal and further strikes from Luis Suarez, Philippe Coutinho and Jordan Henderson saw Spurs slump to a sixth defeat in their last 10 games in all competitions, a run that has seen Sherwood's position called into question.
The setback on Merseyside means Tottenham, in sixth, are eight points adrift of fourth-placed Arsenal, with Sherwood conceding his side's chances of securing UEFA Champions League qualification are now slim at best.