The 29-year-old was sidelined for the Magpies' win against Wolverhampton Wanderers on October 1, and it was thought that he could be out for a number of weeks.
Despite those fears, Newcastle assistant boss John Carver revealed that Ameobi could feature at the weekend.
"Shola's had a good week with the fitness guys," Carver told The Chronicle "We could have thrown him back into training, but we thought it'd be better to give him a good base.
"He's had a solid week. He'll be back with the group on Monday for the build-up to Spurs."
United are currently fourth in the Premier League table after their unbeaten start to the season.