It appeared certain, until recent developments, that Depay and former Netherlands boss Koeman would be reunited at Barcelona in the coming weeks, but now it is unclear whether either will start the season with the Catalan giants.
Depay has looked destined to arrive as a free agent after deciding to leave Lyon, while Koeman was chasing a LaLiga and Copa del Rey double until Barcelona's league form deserted them in the closing weeks of the season.
Now Laporta is assessing whether there is a better coaching option available to Barcelona for the new campaign, at the same time as keeping Koeman on in the event he cannot find a more accomplished boss. Reports have even suggested Laporta would like to bring Pep Guardiola back to the club, which on the face of it looks highly unlikely.
Depay says his own prospects of a move to Barcelona do not hinge on Koeman being the man in charge.
"I don't think that matters if a club like Barcelona is interested," said Depay. "It's a fantastic club, but there are more great clubs.
"Regardless of where I go, I would like it if Koeman stays there. For himself anyway."
Laporta indicated on Friday that Barcelona would begin to announce new signings over the coming week, and Depay confirmed in his interview with Dutch broadcaster NOS that "interest is there".
He is with the Netherlands squad that is preparing for Euro 2020, having qualified under the guidance of Koeman before he was tempted away by Barcelona last August.
Frank de Boer now holds Koeman's old job and Depay promised to have "100 percent focus" on national team duties, with a June 2 warm-up game against Scotland coming up.
Depay scored 22 goals in 40 games across all competitions for Lyon in the season just ended, at an average of one goal every 141.5 minutes, his second best rate since joining the French club in January 2017 from Manchester United.
He massively exceeded his expected goals (xG) tally of 12.38 and also had 12 assists, down on his 2017-18 best of 17 for the club but still immensely useful. Of all players from Ligue 1, only Paris Saint-Germain's Angel Di Maria beat that assists total, setting up 15 goals.
For those reasons, it is easy to see why Koeman would want him, but if a contract is not inked then any incoming Barcelona coach may take a different view.
Only Lionel Messi (38) beat Depay's goals haul in 2020-21 among current Barca players, and only Jordi Alba (13) had more assists.
Going into the Euros, Depay stands to be prominent for the Dutch, who last won the European Championship in 1988, when Ruud Gullit and Marco van Basten, along with the likes of Koeman, made them a devastating side.
Koeman more recently lifted the gloom surrounding the national team, after they shockingly failed to qualify for Euro 2016 and the 2018 World Cup.
"You see, as has already been shown in the past, that the Netherlands can go a long way. We want to do that again," Depay said. "I think this team can do a lot.
"We are finally back and everyone is super happy about that. But now it is time to show why we are there."