The Motherwell manager sneakily asked his striker for the lowdown on Scotland's Baltic opponents before announcing that he had joined Gordon Strachan's backroom team, but Ojamaa takes the task of defending his nation's pride against his adopted home seriously.
He is yet to score in his eight international appearances, but perhaps he is simply reserving that maiden goal for Pittodrie in midweek.
"I'm pretty sure Stuart knows about Estonia anyway because he has watched our games a couple of times," said Ojamaa, who returned home this week as the Lanarkshire side do not have a match.
"So he didn't really need me. I've told him to let me know the Scotland team anyway. There have been a few jokes between us with the game coming up. I am sure other players will be asking me about the Scotland team when we meet up.
"I am not sure if I will start, but I am a representative for Estonian football in Scotland so it's a bigger deal for me. I want us to make a good impression as this is where I play my football. I will be looking to get a good result for that reason and to have bragging rights over Stuart for the next week in training."
All joking aside, McCall would have to take a fair portion of the blame should Ojamaa make a vital contribution to spoiling the Pittodrie party in midweek. Although his potential has been there since he joined Derby County at a young age, his career was going nowhere in particular at Finnish side RoPS until McCall brought him to Motherwell. No wonder there is a cross-cultural mutual appreciation society between the pair.
"I congratulated him when I heard about the job," said Ojamaa. "He deserves it if you look at how he has done at Motherwell and the playing career he had at World Cups and European Championships.
"Working with him has been really beneficial for me because of the type of manager he is. He has so much experience to give us now.
"He is a great man manager and gives players confidence to play to the best of their ability. It's important for me to have that freedom, to know the manager believes in me.
"I haven't scored the same number of goals as when I first arrived, but he doesn't mind, because I can float around and try to find positions not as close to goal, between defenders and midfielders or out wide, where I can make an impact for the team."
Ojamaa is deployed in a similar manner by Tarmo Ruutli on those occasions where he does make the cut. His emergence as an international came after Estonia reached the Euro 2012 play-offs, going down to the Republic of Ireland, but the nation are currently struggling in qualifying with just one win – against Andorra – from their four games to date.
Other familiar names in the group which will touch down in Aberdeen this week is goalkeeper coach and one-time Derby goalkeeper Mart Poom, former Rangers trialist Enar Jaager, and veteran striker Andres Oper of FC Nea Salamis Famagusta in Cyprus, a man who has 38 goals in 130 appearances for his country.
For the record, this puts him just 24 appearances behind the country's all-time record holder, Martin Reim.
"This Estonian team have played together for quite a few years now so there haven't been many changes," Ojamaa said. "We've had good results in friendlies like beating Poland at home, but we've struggled in qualifiers so we're looking to get a positive result in Scotland. It's a friendly in name, but there is a lot to play for."
Oper was also involved in the famous non-meeting between these two teams back in October 1996, when Estonia failed to turn up for a World Cup qualifier in Tallinn, after Fifa brought the kick-off time forward due to a complaint about the floodlights.
The match was duly replayed in a goalless draw in Monaco, and the teenage Ojamaa remembers all the hullaballoo. "I was very young for that game so I can only remember the big news in the papers and it was mentioned so much that I found out more about it in time," he said.
"It was quite a strange one but the Scottish fans are held in quite high regard here for their time spent in Tallinn over the years and there's a great relationship between the supporters."