An afternoon at the swimming pool with his family will have been a gentle reminder of the shifting obligations which now face the Scotland manager after the end of a qualifying campaign.
Despite reviving the national team, if not its ambitions of a place at the World Cup finals next summer, Strachan's immediate concerns related to a meeting this week with Under-21 manager Billy Stark and preliminary discussions with ITV over his role as a pundit in Brazil.
These are the obligations of a manager who has been disarmed after combat, although Strachan is still given to glance at the craters left during the campaign.
The 56-year-old was not drafted in until January but he was, of course, still aware of the value of the side's fortunes in earlier matches, his assessment of a fourth-place finish in Group A made with reference to the "huge decision" in the match in Wales at the end of Craig Levein's tenure.
"If that [Steven Fletcher's goal, which was controversially ruled out] was allowed then I might not be speaking as the Scotland manager right now," he said. "I'd be away playing golf or something like that."
It is a tradition of the Scotland national team to look back and wonder but the sense of progress made under Strachan has offered a compelling reason to move on quickly. Looking ahead was once only possible with the help of the Hubble telescope but there has already been a change in the world rankings - Scotland made a leap of 28 places to settle in 35th - and there is the opportunity to make further strides during friendlies against the United States and Norway on November 15 and 19 respectively.
The emotions from last week's win over Croatia are steadily being replaced by such cold statistics, but there has still been occasion for glowing testimony in the cases of Scotland's most striking figures.
Steven Naismith was deployed as a lone striker in the last two qualifiers, but found the role to be accompanied by a goal against the Croats and a commendation from his manager.
That had not been an obvious outcome after initial grumblings from parts of the support about his selection. The Everton forward had not been considered a regular at his club and is gifted with neither the pace nor physical frame that had been considered a requirement of the role. He was not perhaps the best suited, in short. Yet his height had little to do with it.
His goal against Croatia was a reaction to opportunity - the striker was the first to break into the penalty area to redirect the ball past Stipe Pletikosa after the goalkeeper had blocked Barry Bannan's penalty - while Naismith's capacity to unnerve experienced defenders and discover the space and the spring to allow Scotland to move forward showed a keen understanding of his job. "He has probably been the most influential figure in the last couple of games," said Strachan, who tried to sign Naismith while manager at Celtic, only for the then Kilmarnock forward to move to Rangers.
"He's always been valued as a top player and a great lad to have about the squad but I think now that those two games have been terrific for him.
"He's made us play better. He was a kid who ran about, beating players and all the rest of it, but there's a real man's presence about him now. He's not a kid any more. He's got the energy to do loads of things: help us defend, keep the ball up the pitch and be a threat in the air, but he's made us better by playing in that role as a striker."
Naismith will be 28 by the time Scotland begin the qualifiers for the 2016 European Championship next year, with Steven Fletcher a year younger. It is unlikely they will be asked to work in an attacking partnership given the relative success after the germination of a 4-2-3-1 formation under Strachan, but the esteem with which they have come to be held by their country is evidence of a more persuasive attack. Previously the energy provided by Kenny Miller had to suffice as the Scots tried to find a route to a major finals.
Shaun Maloney should also have returned to fitness by then after injections for the back injury that caused the Wigan Athletic forward to withdraw from the last squad. Strachan hinted that Darren Fletcher is progressing well in his recovery from the bowel condition ulcerative colitis.
"I've spoken to Darren, I really enjoyed the phone call," said the Scotland manager. He remained coy, though, about recalling Phil Bardsley, with the ice beginning to melt after he was frozen out of the Sunderland squad following an act of indiscipline.
There is a temptation to look forward eagerly to the next campaign, yet it must be approached with caution. The confidence in recent matches has been healthy but it will risk being damaged should Scotland stumble in next month's friendlies.
Strachan added: "You are preparing for the next two games ahead but that is as far you look in this international world. Seriously. Some players might lose a little form by that point but we will use the next two games and the training to keep working on our system.
"But I think we're fine, we're OK. We can't go around saying we don't enjoy winning. We are enjoying winning and it does make a difference to football players and coaches, and I hope it makes a difference to the supporters as well."