The steady climb of the thermometer will creep up only a few degrees Saturday.

It may feel a lot worse.

“This is where it’s gonna peak,” National Weather Service forecaster David King said of the warming trend that’s been in place for a few days and has gotten a bit steamier by the day.

The hazy look to the sky will continue, too, according to the weather service, but the marine layer will remain in place and the smoke from the Dixie Fire that’s hovering and in some cases creating entire small systems is not expected to adversely affect the Bay Area air quality.

The after-effects of a tropical system in the southern Pacific Ocean that forecasters said never really developed may send some of that moisture up the coast, King said.

If any rain falls, King said it will likely be in the North Bay and very minimal. It could be accompanied by thunder and lightning, but those chances remained remote heading into Friday afternoon, according to the weather service. He said any lightning is just as likely to be out over the ocean.

It also is contributing to a more muggy feel, and humidity levels are expected to run 35-40% in the far inland regions, where temperatures were expected to get up as high as 95 degrees Saturday. The temperature also will creep into the upper 80s in the South Bay, and the humidity may exceed 50%, according to forecasters.

In Oakland, the humidity will be close to 70% as temperatures close in on 80 degrees, and in San Francisco it will do the same as temperatures possibly rise into the 70s. Each city has a 10% chance of precipitation, according to the weather service.

Those temperatures will be about 4-6 degrees hotter than the forecast Friday highs.

Forecasters said the air quality is expected to remain about the same as it was on Friday, when the Bay Area Air Quality Management District extended an air advisory through Sunday.

At 2:30 p.m. Friday, readings by AirNow, an air quality measuring system used by the weather service, showed the fine fine particulate matter in the Bay Area to be hovering around 50, below it in some areas and slightly above it in others.

Anything below 50 is considered healthy and anything between 51-100 is considered moderately healthy.

The air quality figure was slightly above 100 in the South Lake Tahoe area on Friday afternoon, meaning the air quality there was unhealthy for those with breathing problems. The reading remained a big dip from earlier this week, when the figure sailed into the hazardous category.

Forecasters said a cool-down is expected to arrive by Sunday afternoon but that the haze could continue to linger into next week.