Pochettino, whose side are firmly midtable, may be replaced by ex-Bayern Munich and Germany coach Hansi Flick.
Per Diario Sport, Flick was catching a Premier League game this weekend, seeing Fulham's 3-0 win over Brighton.
"No, I am not worried (about my relationship with the fans)," Pochettino admitted after a 2-2 draw with Brentford.
"We need to accept. I told you, I think someone asked me do you feel the love from the fans? No. We need to build our relationship between the coaching staff, the coach and the fans.
"You build relationships by winning games. But at the moment, the expectation, we cannot match the expectation. We are going to ask for love. I don't ask for nothing. I am going to continue to work and try to change this situation and change, winning games, we now have one week before Newcastle."