The 31-year-old netted his third hat-trick of the LaLiga campaign and fourth of the season, with three sublime goals which prompted a standing ovation from the home supporters at the Benito Villamarín Stadium.
Suarez may not have been able to make the most of Messi's pass on that occasion, but the roles were reversed in the final action of the first half as Barcelona doubled their lead through Messi's second.
The Argentina worldwide has now scored 27 league goals - more than anyone else in Europe's top five leagues this term.
Valverde said that showed the standing Messi - who also hit the post late on - has in the game.
Betis more than matched the league leaders for much of the first half and could have taken the lead after just 13 minutes when Joaquin's diagonal ball was turned back into the area by Cristian Tello, but Jese Rodriguez could not get the required contact on it in the middle when a better finish would have left Marc-Andre ter Stegen little chance.
Getafe defended well to take a 0-0 draw at Valencia, keeping its hold on fourth place.
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Betis were happy to open up and nearly took the lead when Joaquin volleyed first-time to the stretching Sergio Canales, but he was unable to connect.
Remarkably, he has also scored more direct free-kick goals (four) and more goals from outside the box (seven) than any of his competitors those competitions.
Messi said: "They were great goals, but the important thing was getting the three points".
"The public has recognised his talent, they are enjoying seeing him in his prime and they respect him for the player he is".
With five minutes to go before half-time, Suarez had a golden opportunity to extend the visitors' lead. The starting minutes of the game was intense, but it came down to the fantastic free-kick from Lionel Messi in the 18th minute. Messi, who even earned acclaim from the home fans after his third goal, is certainly delivering the performance levels Barca will need if they are to win the treble. Ivan Rakitic rolled the ball back and he clipped a sumptuous chip over Lopez, off the crossbar and in.