The striker netted the first of his team's three goals at the Benito Villamarin, taking his goal return for the campaign to 20, but his future has been the subject of constant speculation in recent months, with clubs all over Europe reportedly keeping tabs on his situation.
Nevertheless, the ex-River Plate starlet preferred to focus solely on aiding the Blancos' assault on La Liga and the Champions League rather than looking beyond the end of the season.
"Right now I will not speak about my future and I will devote the next four months to Real Madrid. I will try to do my job and help the team," Higuain said after the match.
Higuain then switched to on-the-field matters, acknowledging the perilous threat posed by Betis, who pushed Madrid hard for the three points, before claiming the 2011-12 side assembled by Jose Mourinho has far greater resolve than its predecessors.
"It was a very difficult match, but what matters is that we won, kept the winning streak going and the advantage of ten points," he continued.
"In previous years, these are the kind of matches we would have lost. Winning the game was important because each week, there are less games and opportunities to gain three points."
Real Madrid have moved provisionally 13 points clear of Barcelona at the top of the Primera Division.
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