The club clinched their 19th League title capping off a fine year after having won the Champions League, UEFA Super Cup and Club World Cup last year.
But this hasn't stopped the club for going for more success, according to Henderson.
“They’ll want to keep going and keep improving because the hard bit now is continuing that consistency and intensity to keep going at the highest level, keep winning trophies,” he said.
“That’s going to be a new challenge for us to cope with and I’ve got every confidence from us that we’ll meet it.”
Henderson paid tribute to manager Juergen Klopp who he says would help them maintain their focus.
“... We see the manager as being someone who would never let distractions get in the way of what we’re trying to achieve,” Henderson added.
“After the Champions League (final) you could have asked would they still have that drive, that hunger to go on and win more? And I think we have proven this season we do.”
Liverpool visit second-placed Manchester City in the league on Thursday.