The forward was pleased to see both of the Catalans' rivals drop points and is keen to go on top of the table again as soon as possible.
The reigning champions closed the gap to first-place Madrid to just one point after beating Almeria 4-1 on Sunday, while they now hold a two-point lead over third-place Atleti.
"The result from the Madrid derby was very good for us, but the most important thing is that we did our own job well," the Chile international was quoted as saying on the Barca website. "We secured three more points and now we’re just one behind Real Madrid. We have to try and get the top spot of the table back as soon as possible."
Sanchez scored once in Sunday's victory to take his tally in La Liga to 16 goals in 22 appearances this season.