In past seasons, that would have been Martin's — or Billy Donovan's or Roy Williams' — final hands-on time with his players in a gym until September.
That's a long summer gap to be filled. It's an anxious time for a coach because it can be filled by activities (or inactivities) counter-productive to the grand mission.
"They go away,'' Martin said Wednesday, "and especially with those elite guys, all of a sudden you have people coming through the door and things can happen.''
The NCAA has enacted legislation to make coaches like Martin less anxious.
Starting this summer, athletes are permitted eight hours of supervised "athletic activities" per week of which no more than two hours can "involve skill instruction.''
Two hours a week doesn't sound like much but it means consistent contact.
"Probably 30 minutes a day, four days a week,'' Martin said. "And once again, you have an opportunity to keep your guys on campus.''
There is fine print. The athlete has to be enrolled in summer school. And if he's a returning player, he has to carry a 2.2 grade average while making normal progress toward a degree.
The new deal comes at a fortuitous time for Tennessee. The Vols have legitimate expectations to make some waves in 2012-13 and every inch of a head start is a good thing.
This is a team that returns everyone of significance save for departed senior Cameron Tatum. The summer opportunity also parlays nicely with the 10 days of practice the Vols are allowed prior to their August trip to Italy.
There's always the risk of burnout, but if managed properly the continuity should pay off.
The benefits of these individual or small-group workouts should not be discounted.
Martin has seen tangible progress in different players since they were abruptly dismissed from the NIT by Middle Tennessee State.
Jarnell Stokes, for example, is a better player today than a month ago.
"He was running (a suicide) sprint in 34 seconds,'' Martin said. "Now it's 30. Yemi (Makanjuola) ran a 29. He hadn't done that all year. And that's wearing the weight vest.''
While the NCAA was in a giving mood, the university is channeling Mr. Grinch.
Buried in last week's announcement that the athletic department is cutting jobs was a mention of operating with fewer student personnel.
That includes basketball walk-ons, it turns out.
Martin will be restricted to 15 roster spots: 13 on scholarship and just two walk-ons.
Last year's team had five walk-ons. Freshman Brandon Lopez took honors with 10 combined minutes of game action.
Lopez will get one of the two slots for 2012-13, Martin said.
Rob Murphy, a 6-foot-8 forward who played five minutes, gets the other.
The cut was "somewhat" of a factor in why point guard Cory Stanton won't be back with the team, Martin said. Martin hopes to keep the other walk-ons involved in the program in non-playing capacities.
Losing a couple of walk-ons doesn't sound like a big imposition.
UT's five walk-ons played a combined 28 minutes last year, virtually all in mop-up time. But they did make practice more competitive for the scholarship guys.
"We'll have to make some adjustments,'' Martin said. "We'll make it work.''
Speaking of adjustments, the Vols are a calendar year into their indoctrination to Martin's brand of work. What seemed foreign this time last April has become standard operating procedure.
"You're out of the gate understanding what you want to do as a program,'' Martin said.
At this point, that's get back to the NCAA tournament after a one-year hiatus. In Martin's first season, some early wheel-spinning on the learning curve came back to haunt the Vols in the end.
A promising season lies ahead. And now there is an enhanced summer opportunity to make the most of it. Thirty minutes at a time.