The Mets do not want to publicly state that there is hope Pete Alonso could return ahead of schedule.

The first few days since the first baseman was moved to the 10-day injured list with a left wrist bone bruise and sprain, though, have been encouraging.

Alonso was on the field working out, sprinting and taking ground balls hours before the Mets and Yankees faced off at Citi Field on Tuesday night.

“He’s progressing well. He’s starting to do some things,” manager Buck Showalter said before the start of the Subway Series. “[A return is] not imminent obviously. But it’s progressing well.”

When the Mets announced Alonso’s diagnosis Friday, they provided a timetable of approximately three to four weeks for a return, which would mean Alonso would miss the rest of June at the least.

If Alonso is striving for an earlier activation, he did not say so publicly. Coming off the field, Alonso declined comment apart from saying he had to continue his rehab work.

“I’m not going to handicap that [timetable],” Showalter said when asked if Alonso could return ahead of schedule. “I think we’re too far off from that. Got a lot of bridges to cross to say that’s going to happen. Not there yet.

“Take this week, see how he feels as we go forward.”

Alonso was drilled by a 97 mph fastball from Atlanta’s Charlie Morton last Wednesday and exited the game in the first inning. He has been sidelined since, with the Mets entering play Tuesday having lost four of five games without their slugger.

The two-time All-Star had played in each of the Mets’ first 62 games and was an indispensable piece to a team that otherwise lacks power. Despite missing nearly a week’s worth of action, Alonso entered play Tuesday as the majors’ home run leader with 22.

Alonso is not used to missing time.

Since debuting in 2019, Alonso had played in 592 of a possible 608 games (including 160 last season) before the wrist injury struck. In his first four seasons, he only had been pushed to the injury list once — and served the minimum 10 days for a right hand sprain in May 2021.

Without Alonso, the Mets were swept in Atlanta and lost a series in Pittsburgh.

Their offense surprisingly was not the biggest issue because their pitching — both starters and relievers — threw away several games.

Since Alonso went down, the Mets have received more from Tommy Pham, who stepped up and posted a 1.018 OPS in the final five games of the road trip.

Pham, a righty who typically receives his starts against opposing lefties, was serving as DH for Tuesday’s game against righty Luis Severino.

“I think he’s adjusting to a lot of different things,” Showalter said of Pham, who is regularly platooning for the first time in his career. “He’s in a good place, and we’re going to take advantage of it while he is. Shoot, I hope it goes all season.

“I want to say, ‘Hey, your opportunity is there.’ ”

Mark Canha, typically a left fielder, started at first base Tuesday for a third time in five games without Alonso. Mark Vientos, who came through the Mets’ system as a third baseman, has received a pair of starts at first as the Mets adjust to life without their cleanup hitter and most consistent presence in the lineup.

This injury will prove to be the longest time the Mets are without Alonso since he first made the major league team out of spring training in 2019.

The Mets do not want to speculate on an early return, but the early returns have been promising.

“Little by little,” Showalter said after Alonso’s workout. “Hopefully we’ll get there sooner rather than later.”