The Argentina captain and his international team-mate were briefly at West Ham together when they arrived in the Premier League in August 2006.
But now midfielder Mascherano, who joined Liverpool in January 2007, is aware of the speculation that he could be re-united with his striking colleague at Anfield.
Liverpool boss Rafael Benitez has been linked with a move for Tevez, whose loan deal at Manchester United ends next month.
Benitez pointedly refused to discuss names of his transfer targets after Liverpool's final game of the season on Sunday when they beat Spurs 3-1 to clinch runners-up spot.
But there is little United boss Sir Alex Ferguson could do about such a move once the player's loan is over.
Mascherano said: ''It would be great to have Carlos here with me, I know how good he is. But I don't really know what the situation is, it is certainly a difficult one.
''I don't know exactly what is happening. The only thing I can say is that he is a great player and a great person.''
Mascherano will at least be playing in the same side as Tevez next month, when Argentina have two World Cup qualifiers against Columbia and Ecuador.
He said: ''I will be with Carlos in the national team shortly, and we know we have to win important games and if we can get six points from our next two matches we will be closer to the World Cup.
''It's important to win both games and see what happens, but obviously I want to be in South Africa for the finals next summer.''
Whether they can end up at Anfield together next season is a question for Benitez and Liverpool's American owners.
But it is believed that Tevez does not want to move from his Cheshire home and intends staying in the Premier League if he does eventually leave Manchester United.
Mascherano admits to ''not feeling good'' about Liverpool's failure to land the title.
He said: ''We wanted to win the league and we were very close, but we accept that Manchester United did very well also.
''It is difficult to take, because if you look at the table and you see Liverpool with 86 points, that's enough to win the league in many previous seasons.
''Previous champions have had less points than we had this season. But we have to improve, and we will be ready for next season after what has been a good campaign and better than the last four or five seasons beforehand.''
He added: ''It is not easy knowing you have really good players and you finish only second, it is difficult to understand.
''We will have to see what happens now. We have the squad to compete in the league, but maybe if some new players came to improve the team it would be great for us next season. It does not need improving too much, maybe a little bit.
''We need to improve at home. We dropped a lot of points at home because we didn't have that experience to finish the games, but next season we will have the experience and maybe it will be better for us.
''You can see against the top sides we almost beat all of them. But at home we dropped a lot of points against Hull, Manchester City and Fulham. Winning those points could have won us the league.''
Carlos Tevez wants to help Manchester United retain the Champions League against Barcelona on Wednesday before giving any further thought to his future.
It is expected Tevez will leave Old Trafford next month, once his two-year loan deal expires. However, the 25-year-old is determined to put discussion about his future on hold until the Red Devils' European fate is sealed.
''I want to win the European Cup for the club and the fans,'' he told Zoo Magazine. ''After that we will talk about the future.
''I really like it here and want to be part of the success but right now I don't want anything to distract me from my football.''
Tevez is in the happy position of counting both contenders for the title of best player in the world as team-mates.
Cristiano Ronaldo has been aiding United's quest for an unprecedented double double, while Barca's Lionel Messi will also be part of the Argentina squad aiming to win the next World Cup in South Africa.
Diplomatically, Tevez refuses to split them, although it is clear the winner of their personal duel stands an excellent chance of lifting the European Cup on Wednesday night.
''Everybody considers them to be the best football players in the world,'' said Tevez.
''Some people will say Messi is the best and some people will say Ronaldo is the best. For me, they are both as special as each other.
''To have them both on the same pitch should be great entertainment for the fans.''