The 21-year-old England worldwide was taken off after 23 minutes following a challenge with Clarets captain Ben Mee.
Speaking at his post-match media conference about the severity of Gomez's injury, Klopp said: "It was his ankle".
"Nobody can judge that".
"And that's part of that front foot mentality - you've got to go and win the ball, and go and challenge against these boys, put a marker on the game, not only with good tackles, but with good play". Can you turn a decent player into an global?
"It happened four or five times, everybody likes it, but Joe is injured, and probably not only a little bit".
Of course, Liverpool won their games against Bournemouth comfortably last season, 4-0 and 3-0, but while they haven't been playing at their brilliant best yet this season they've been able to win games they struggled in last season, such as the midweek trip to Burnley.
"What I would say is this, and I think it's important to register, there were some excellent tackles last night".
"I think the only one that was questionable was Bardsley's".
"Ben Mee's was a fantastic tackle and I think Gomez realised that".
"And I thought we were effective in the way we mixed it - not enough - you have to win a game - but we've got to get back to being us, and get back to the consistency of being us". Although, it was such a blow to lose Lewis Cook to that bad injury - and a real shame for him.
"He [Klopp] didn't reference Daniel Sturridge's cheating when he went down, nothing near him, and he got a free-kick for it".
Dyche said the Klopp didn't mention one particular issue when the managers seemingly exchanged some heated words following the match.