Umtiti headed home Coutinho's corner to give Barcelona a two-goal cushion and some breathing space after 51 minutes.
Barca need seven more points to seal the Spanish title, but they face Sevilla in the Copa del Rey final next weekend as they seek a domestic double.
A rainy day and a subdued crowd of just 69,544 spectators - well short of the 99,354 capacity - was reflected in a turgid opening spell for Barca, until Suarez struck to break the deadlock and restore some cheer to the stands 15 minutes in.
Ernesto Valverde's side lead nearest challengers Atletico Madrid by 14 points in the standings, with Atletico hosting Levante and fourth-placed Real visiting basement club Malaga on Sunday.
Valverde said: 'It's not the week to talk about records but we should be positive. But it was a fundamental win in many ways.
Even that would feel like a slight let down after European elimination, but this has been a successful year with the prospect now, with six league games to go of the campaign, of a first ever unbeaten season.
Rodrigo should have punished an Umtiti error early in the second half but his effort was cleared off the line by Gerard Pique after Santi Mina had played him into clear space in the penalty area.
The German goalkeeper ran himself into trouble as he sent a pass straight at the feet of Valencia forward Rodrigo but redeemed himself by tipping the shot on to the crossbar and behind.
"The atmosphere around the club this week has been a bit gloomy and we needed to put the brakes on that so I have to congratulate the players because it's not been easy", added Valverde.
Valencia started the game well and threatened Barcelona goal twice in the first five minutes. "We wanted to reach the final".
Both teams played attacking of football but Valencia keeper, Neto, was kept busy by the menacing Catalan forwards.
Coutinho was forced to sit out of Barcelona's midweek Champions League exit because he is cup tied, but the midfielder was delighted to return to help his side take one giant step towards securing the league title.
Police is not arresting people who chant anti-India slogans, who burn the tri-colour, but they have arrested people here. Also horrified by their use of our national flag in these demonstrations, this is nothing short of desecration.
Hornacek had preached patience earlier on Wednesday, saying he was confident the Knicks were on the verge of being competitive. The Knicks finished the season with a record of 29-53, which now has them picking 9th in the NBA Draft.
The particular strain of E. coli involved in this outbreak can cause bad stomach cramps, vomiting and bloody diarrhea. PulseNet , the national subtyping network, has linked 6 cases in New Jersey to the multistate outbreak.
Senator Gardner placed a hold on Department of Justice nominees until he confirmed that Colorado's rights would not be infringed. But Trump has also railed at the dangers of drug-related crime and suggested recreational marijuana should not be permitted.
Finally, there's a medal for Ghana at the 2018 Commonwealth Games in Gold Coast , Australia and it came from a likely source. Nigeria has already got nine Gold, eight silver and six bronze in the fiesta which will end on Sunday.
It is, however, unknown if Markle's 73-year-old father who she is very close to, will walk his daughter down the aisle. From the guest list to the wedding dress, here's everything you need to know about this year's biggest royal wedding .
Some of those killed were militants, the Israeli army said. "We want to live like everyone else in the world", he said. The Israeli military say demonstrators also hurled an explosive device and several fire bombs near the fence.