Swansea dropped to the bottom of the table after last weekend's 2-1 defeat by Stoke City, with Clement admitting emotions boiled over in the dressing room after the match.
"Internally everyone is working in the same direction", Clement said.
"I've experienced dressing rooms that have grown apart from their manager and sometimes that's hard to get back".
"If there's any pressure or talk about me not being here, it's from external sources and not from within".
"I had a positive conversation last night with [co-owner] Steve Kaplan, I was on the phone with him for about an hour and a half".
"I was disappointed at the end of the Stoke game and that is the reason I looked so frustrated", Clement said. "We're working in a very focused manner, we just need to turn around the preparation we do in midweek into a winning performance".
'I think the breakthrough he has made is he has got himself in shape.
"At the halfway point past year, the team had 12 points".
The Swans awful run of form has resulted in Clement's position seemingly coming under pressure, the former Chelsea and Bayern Munich assistant failing to build upon his successful turn around of the team's 2016/17 season.
Swansea, who have nine points from 15 matches, host 17th-placed West Bromwich Albion on Saturday.
Once he took over in January, Clement took an impressive 29 points from 19 games in order for Swansea to finish above Hull City and avoid relegation.
"I don't fear (losing to West Brom), not as my position as head coach". We really need to be getting to a minimum of 12 at halfway.
"It was a big effort last season, but we managed to do it".
"If it's any lower than that, it's going to be tough". We know that if you get to that, you can still go on and do it.