The midfielder, 21, who trained with the Middlesbrough squad this morning, was one of the names Strachan was pictured with when he arrived to take over from Gareth Southgate last week.
Although the former Celtic boss insisted the nine names he was carrying were not his, one of them has now become his second loan signing, joining striker Marcus Bent on Teesside.
Spotted:Gordon Strachan arrives at the Riverside with his secret shopping list(above) including his new signing Isaiah Osbourne from Aston Villa(below right)
Osbourne has made 29 appearances for Villa since making his first team debut against Fulham three years ago. He also made a handful of appearances on loan at Nottingham Forest last season.
Strachan said: 'I've known about Isaiah for about a year and he'll bring us more strength in the midfield area where we're definitely short on numbers.
GORDON'S SHOPPING LIST Kyle Naughton (Spurs) Andy Griffin (Stoke)Marc Albrighton(Aston Villa)IsaiahOsbourne (Aston Villa)Jack Wilshere (Arsenal)Hayden Mullins (Portsmouth)Kevin Phillips (Birmingham)Chris Iwelumo (Wolves)Federico Macheda (Man Utd)`He's not a flair player, he's what I'd call a continuity player, but he'll also give us strength, height and get about the pitch.'
Osbourne added: `I'm very happy to be there. Middlesbrough feels like a Premier League club, while I'm looking forward to working with Gordon Strachan.
`Before coming here, I first spoke to Martin O'Neill and Stilian Petrov about the gaffer and they both spoke highly of him.
`I'm here for two months and right now I'm looking no further than that but hopefully I will play a few games and can help the team.
`I played for Forest in the Championship last season so I know a little bit about what it's about. I know it's a lot quicker than the Premiership, that's for sure.'
Osbourne is expected to make his Boro debut in their visit to Crystal Palace this weekend.
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Explore more:People:Federico Macheda, Martin O'Neill, Kyle Naughton, Gareth Southgate, Kevin Phillips, Gordon StrachanPlaces:Birmingham, Premier League club