The England international was given an earful by Suarez for not passing him the ball when he was in a better position on one occasion.
"When I missed that chance, Luis was obviously fuming with me, and I don't blame him," The Mirror quotes him as saying. "I was fuming with myself too. I think everyone was fuming with me.
"You could see I was still disappointed when I came off because obviously I was also disappointed with missing a penalty at the Kop end.
"At the same time we have won 4-0 at home against Everton, so really I shouldn't be too down on myself."
Sturridge scored twice for Liverpool as they got the better of Everton 4-0 at home.