Gov. Charlie Baker walks through the State House on July 27, 2020. State House News Service photo

Gov. Charlie Baker said Tuesday that his administration is “not taking any options off the table” to keep Massachusetts safe as COVID-19 transmission inches upward, such as reducing allowable gathering sizes and reviving restrictions on businesses.

Baker did not indicate what specific threshold would trigger those steps, but he said he could not rule them out if a slight uptick in positive tests observed over the past few weeks accelerates into more substantial spread.

Virtually all of the significant metrics public health experts track are far better than they were during the mid-April peak, but the average positive test rate has increased from 1.7 percent in mid-July to more than 2 percent in recent days.

“We’ve only had a slight uptick from a low of 1.7 percent to 2 percent, but we’ll be forced to adjust our plans if the data warrants it,” Baker told reporters following a tour of the MedFlight Headquarters in Bedford. “That could mean gathering sizes could be reduced or we could make some of our business regulations more strict. Reopening and staying open is obviously a big part of the goal, but obviously, we can’t do that if we don’t have everybody’s help to continue to move forward.”

The governor did not offer many specifics when asked about what changes in the health landscape would prompt him to impose new restrictions, saying his team considers “a lot of elements” when weighing action.

He cited a COVID-19 positive test rate of 5 percent as the goal his administration targeted early in the pandemic, though he did not say explicitly whether that is now a line above which new restrictions would activate.

Most travelers entering Massachusetts from Rhode Island will soon be ordered to quarantine for two weeks upon arrival unless they recently tested negative for COVID-19, the Baker administration announced Tuesday.

The state Department of Public Health tweeted Tuesday evening that, starting on Friday, Aug. 7, Rhode Island will be removed from a list of eight low-risk states exempt from the travel order, citing “increases in both RI’s positive test rate and cases per 100,000.”

Under the new restrictions that took effect Saturday, both Massachusetts residents returning from trips to 42 non-exempt states and travelers from those states must self-isolate for 14 days or provide negative COVID-19 test results no older than 72 hours. Violations carry a fine of up to $500 per day, although Baker said enforcement is based on an “honor system.”