Spurs manager Harry Redknapp, who hoped to fly to the match after the end of the day's court proceedings in his tax evasion trial, missed the game because of a technical fault that prevented his plane from taking off.
He did not miss a great deal of action but his team defended resolutely to leave Anfield with a point after failing to score in the league for the first time for 23 matches.
They also remained seven clear of fourth-placed Chelsea following their London rivals' 3-3 draw with United on Sunday.
"I'm really pleased with the way the team played. We kept them under a lot of pressure. We just needed the bounce of the ball to go our way and if we'd have got one, I think we would have won it," he told Sky Sports.
Tottenham assistant manager Kevin Bond, in charge at Anfield in Redknapp's absence, told the BBC: "We had to work really hard and defend for our lives at the end.
"We didn't create many chances but we had the best chance of the match five minutes before the end, and it just was not meant to be. For Gareth Bale's chance, the goalkeeper stood up well and it was a big moment for us, but a point was a good result for us."
Suarez came on after 66 minutes following the end of his suspension which included an eight-match ban for racially abusing Manchester United's Patrice Evra in October and one game for giving Fulham fans the finger in early December.
Spurs' best chance fell to Bale five minutes from time, but the Welsh midfielder hurried his shot and fired straight at Pepe Reina, one of the few attempts the Liverpool goalkeeper had to deal with.
