Last season's Segunda Division champions are currently level on six points with Real Madrid and Valencia after starting their campaign with 1-0 victories over Granada and Real Mallorca.
Both of those victories have been secured with goals in the last four minutes from Ruben Castro, and Molina believes that is proof his side are ready to battle until the final whistle.
He said ahead of this weekend's trip to Athletic Bilbao: "The goals are arriving late but this shows that we don't give up at all. We're showing that we're going to fight for matches until the end and letting our rivals know that we want the points at all times.
"Hopefully things continue like that."
He added: "Clearly we would've wanted to start as well as this. It's very good to start with six points from six, although we know there's a long way to go."
Early-season pacesetters Real Madrid will look to build on their impressive start when they go to Levante.
Jose Mourinho's troops followed up their 6-0 opening win over Real Zaragoza with a 4-2 home triumph over Getafe last weekend.
Madrid then recorded a 1-0 midweek triumph at Dinamo Zagreb to begin their Champions League campaign on a winning note as well, and although the club were unhappy about the treatment meted out to Cristiano Ronaldo in that match, assistant coach Aitor Karanka is pleased with the way things are going.
"We must keep this up, growing and working hard to do a good job. It's easier to work when you earn positive results. If we keep this up we'll reap rewards," he said.
European champions Barcelona produced a rampant performance to thrash overwhelmed Osasuna 8-0 and bounce back from a difficult week at home and abroad.
Pep Guardiola's side were eager to make a statement after allowing both Real Sociedad and AC Milan to snatch draws in the last seven days and did so in style in Saturday's La Liga clash at the Nou Camp.
Lionel Messi started and finished the scoring en route to an impressive hat-trick while David Villa scored two, Cesc Fabregas and Xavi grabbed one each and defender Roversio scored an unfortunate own goal.
Valencia moved to the top of the La Liga with a 1-0 win at Sporting Gijon courtesy of a solitary Roberto Soldado goal.
Soldado slotted home after half an hour as Valencia extended their 100% record after three games.
However, defeat means Sporting are still without a point and are propping up the rest of the table.
Ikechukwu Uche's second-half header was enough to give Granada their first top flight win in 35 years over an out of sorts Villarreal 1-0.
The Nigerian striker, on loan at the Andalusian side from Villarreal, had earlier passed up the best opportunity of the first half but made amends early in the second with a fine header from Dani Benitez's cross.
Villarreal were handed the chance to equalise when referee Estrada Fernandez awarded a penalty 12 minutes from time but Giuseppe Rossi hit the post and Jonathan de Guzman missed an open goal from the rebound.
Martin Demichelis' first-half header was enough to hand Malaga all three points in a 1-0 away win at Real Mallorca.
In a game of few chances Santi Cazorla was acrobatically denied by Dudu Aouate before Demichelis' header from Cazorla's cross was deflected in off Pablo Caceres.
The hosts lacked a goalscoring threat throughout the game and their most dangerous moment came when Emilio Nsue's claimed for a penalty after an apparent push by Demichelis.