Robinson played regularly under Paulo Sergio, McGlynn's predecessor, but has fallen out of favour this term, making six starts and seven appearances as a replacement.
The 21-year-old had been named as a substitute for last Saturday's Scottish Premier League clash with the Dons, but was later replaced by academy player Adam King.
McGlynn said: "It's an internal matter which we're keeping internal.
"We've got a meeting early next week where we'll take discussions further. He's not been (suspended). There's nothing formally taken.
"His agent wanted to represent Scott and his agent is away. It was at his request that we wait until next week."
Robinson was Hearts' youngest player of modern times when he made his debut a month after his 16th birthday in 2008.