After half-time, an even game swung in Sporting's favour and they twice came close to levelling before finally doing so when Fernandes found Alexander-Arnold out of position on the Liverpool right.
Liverpool have lacked a creative midfielder since selling Coutinho.
But Klopp's men did not stay out in front for long, as Wendel tied the scores once again eight minutes into the second half.
Manchester United are unlikely to sign Portuguese midfielder Bruno Fernandes this summer.
After grabbing 20 goals and 13 assists domestically last season, Fernandes put in a number of assured displays to help Portugal claim the Nations League title.
Liverpool ended their pre-season tour of the United States of America with a 2-2 draw against Sporting Lisbon at the Yankee Stadium.
Migs needs to do something he hasn't done enough: grasp this chance with both hands, firmly, or Fernandes could be about to end his career.
Whilst star man Bruno Fernandes was the name on everyone's lips, it was the young Ivorian who caught the eye of the Liverpool boss.
"We know what the situation is and, now he's here, let's wait and see".
"They have already a few really good players, so that will probably make them stronger. It's not nice, but (talking about United's transfer business) is not our cup of tea, to be honest". You ask the wrong guy. I don't know, it's the coach who decides. "We know he plays very well and clubs like him and we have to see what happens", he added. This is the job for the coach.
However, Ole Gunnar Solskjaer's side have finally become angry after being reported to have an interest in just about every player in Europe.
