Madrid faces a double-header against Barcelona in the Copa del Rey semifinals in the next month, as well as two legs against Ajax in the last 16 of the Champions League, AFP reported.
After Alaves on Sunday, Real also plays city rival Atletico Madrid in La Liga before a third Clasico at the start of March. Madrid is 10 points adrift of Barca already and cannot afford to let the gap widen further.
Bale has just come back after three weeks out with a calf injury but his return to the starting lineup is not guaranteed, given his team has won six out of its last seven matches.
"The spotlight is always on Gareth," Solari said at a press conference on Saturday. "But I see him focused, connected, plugged in.
"I want him to perform how he knows he can, like he did in the Club World Cup and against Roma. He is an important player for us and I think he is determined to do well."
Madrid meets Barcelona in the first leg of the Copa del Rey on Wednesday, three days after the game against Alaves, but Solari was reluctant to divert focus to the contest at the Camp Nou.
He insisted, however, that Madrid is used to big matches coming thick and fast at this stage of the season.
"We are used to it, this team has experience of this at this time of year," Solari said.
"First, you have to reach this stage in all three competitions, the aim is to keep all of them open.
"We have already won the Club World Cup and we come into this period in good form, with energy, with the whole squad available, except (Jesus) Vallejo, who is about to come back.
"We face this run of games with absolute tranquility."
Madrid was thrashed 5-1 by Barcelona in its last outing at the Camp Nou in October, a match that led to Julen Lopetegui being sacked and Solari instaled as his replacement.
Asked how his team has progressed in the three months since, Solari said, "We are in a very good moment. The players are training well, enthusiastic, it is down to them.
"They are a family, they say it themselves, and I think they are doing phenomenally well."