Unbeaten Barca made it nine wins in 10 Primera Division matches this season after downing Madrid 2-1 on Saturday in the first Clasico of the season, a victory that kept them a point clear of Atletico Madrid at the summit.
Now the reigning Spanish champions will look to add another three-point haul from their trip to Celta, although Martino knows the dangers facing his side.
The Argentinian, whose team have drawn their last two away matches, 0-0 at Osasuna and 1-1 at AC Milan, told reporters on Monday: "It's always dangerous after a Clasico. There's no room to get comfortable."
Martino did admit, though, that the morale in the Barca camp was sky-high ahead of their trip to north-west Spain.
"It's clear that winning a Clasico always gives a big psychological boost. The mood in the squad couldn't be better," he said.
Celta's confidence also received a welcome lift at the weekend as they claimed a shock 5-0 away victory over Malaga to climb out of the relegation zone.
Celta had taken just two points from their previous seven league games prior to that and coach Luis Enrique is hoping they can follow it up with another good result against his former club Barca.
"I won't sign for a draw now. It would be a great result, but we will go into the game with a winning mentality. Our opponents are very strong, but football is a sport which can surprise you," he said.
Wounded Malaga, on a three-match losing streak, are also in action on Tuesday night as they go to Espanyol.
There are four matches on Wednesday, including Real Madrid's home match with improving Sevilla.
The Andalusian side are unbeaten in their last seven competitive outings and president Jose Maria del Nido wants that run to continue at the Bernabeu.
He said: "Going to Real Madrid's ground is always a difficult assignment, because they are one of the biggest teams in the world, but Sevilla won't stop going for the points at any ground in Spain."
Valencia are another side looking to bounce back from a chastening weekend loss as they play host to winless bottom club Almeria on the back of a 4-1 derby mauling at the hands of Villarreal.
Also on Wednesday, second-bottom Osasuna host fourth-bottom Rayo Vallecano while Real Sociedad go to Real Valladolid.
The remaining four matches take place on Thursday, when red-hot Atletico Madrid are in action at Granada.
Diego Simeone's men kept the pressure up on Barca with a 5-0 mauling of Real Betis on Sunday and they will be optimistic of picking up another victory against a Granada side who have lost four of their five home matches this season.
Also, fourth plays fifth at El Madrigal when Villarreal host Getafe, while sixth-placed Athletic Bilbao meet Elche and third-bottom Betis - whose coach Pepe Mel insisted on Monday he will not quit - take on Levante.