“No, yes in a joking tone we often talk, but he has those desires to play the World Cup next year too,” Suarez told Ovacion.
A club-record crowd of 62,358 packed into Soldier Field for the visit of Lionel Messi and his Inter team to witness a gutsy display from the home side.
Messi tucked the 84th minute spot kick into the corner to complete the comeback for Miami and earn them a place in the last four.
Too often Messi, who played the full game, was trying to create by himself while crowded out by Toronto defenders but did he test Johnson with a low shot in the 77th minute after working some space for himself.
A 57th-minute strike from Los Angeles-born El Salvador international Nathan Ordaz handed LAFC a precious advantage heading into next Wednesday's return leg in Florida.
Messi had missed Argentina's World Cup qualifiers in South America during the recent international window after picking up an adductor strain in Miami's most recent Major League Soccer game, a 2-1 win at Atlanta on March 16.
Veteran Haiti international Fafa Picault headed in the winning goal in the 89th minute to give Miami a precious victory that extended their unbeaten start to the season.
It marked the third straight game that Messi failed to feature for Miami after he did not travel to Houston for last week's 4-1 win in MLS before watching the 2-0 victory over Jamaica's Cavalier in the CONCACAF Champions Cup first-leg game on Thursday.
Luis Suarez scored a goal and assisted on three others to lead Inter Miami to a dominant 4-1 victory over the host Houston Dynamo on Sunday night.
Diego Rossi's two second-half goals launched the reigning MLS champion Columbus Crew over defending champion Inter Miami 3-2 to reach the Leagues Cup quarter-finals on Tuesday.
Argentine star Lionel Messi was ruled out on Monday by Inter Miami coach Gerardo Martino for the defending champions' Leagues Cup knockout match on Tuesday at reigning MLS champion Columbus.
Messi suffered a right ankle ligament injury in last month's Copa America final, helping Argentina to victory over Colombia, but Martino said the 37-year-old Argentine striker is getting better.
Paraguay's Matias Rojas opened the scoring in the ninth minute and Uruguayan striker Luis Suarez added an insurance goal in the 72nd minute to deliver Inter Miami's triumph.
Lionel Messi will not play for Inter Miami as the defending Leagues Cup champions begin their repeat bid on Saturday (Sunday morning in Bangladesh time) at home against Puebla, Miami coach Gerardo Martino said Friday.
Lionel Messi will miss Inter Miami's next two Major League Soccer matches after injuring his right ankle in Argentina's Copa America final triumph, Miami coach Gerardo Martino said Tuesday.
The league's top talents will face the Mexican League All-Stars on July 24 at Columbus, Ohio.
Messi's star turn raised the profile for MLS in the United States.
Inter, upset at home by Atlanta on Wednesday, appeared to be heading for another costly loss after a 68th-minute Luis Suarez own goal left St.Louis 3-2 up heading into the final minutes.
Lobjanidze stunned a star-studded Miami line-up with two long-range strikes either side of half-time to fire Atlanta into a 2-0 lead.