The 19-year-old former Ipswich trainee impressed Sturrock during a recent trial match.
Sturrock told the club website: “Omar stood out for me in the trial match we held at Huish Park. He is only 19 years old and very mature for his age. He will certainly benefit a lot by working alongside Terry Skiverton.
“I feel he will have a very successful career and I am excited about him signing for Yeovil Town.”