It would be a 28th trophy in four countries for the five-time Ballon d'Or victor, a haul which includes five Champions League, and the Euro 2016 title with Portugal.
The draw means second-placed Atletico Madrid could close the 12-point gap with Barcelona.
Valverde backed his opposite number Ole Gunnar Solskjaer's complaints about the lack of time between games. It's anyone's guess to how they will do so and, in terms of goalscorers or other markets, there's not much there in terms of value bets so I'd rather look at this game.
With 10 minutes remaining, Barcelona brought on Arthur for Alena, but they were unable to break through and survived a late penalty appeal when Chimy Avila went to ground under a Wague challenge.
"I think he did well", said Solskjaer, whose United suffered a third successive home Champions League knockout defeat for the first time in their history.
"We want to go out and dominate from the start but, when we have to defend, we have to defend like we did at Old Trafford".
Barcelona were even said to have offered a player Malcom for the possibility of signing Willian, but all their efforts were futile.
"It would've been easy to field the first choice XI today and get the Scudetto but we've had such a remarkable run of results this season that it was more important to focus on the Champions League game coming up", he told Sky Italia.
And Mourinho, who was sacked in December by United executive vice-chairman Ed Woodward, believes it will be tough for United, but they did well to keep Lionel Messi quiet at Old Trafford.
"We played with a lot of youngsters".
"The more he plays, the better shape he gets into".
Juve have lost five finals since last tasting victory in Europe's top club competition in 1996, and will seek to take a step to atone for that when Ronaldo and Co. return for the home leg against Ajax on Tuesday.
Ousmane Dembele's chance of a start there would appear enhanced after he played 67 minutes following his recovery from a hamstring injury.
"We will try to fight and win the game".