"We are easing him in and wanted him to feel confident he was ready," Brady told BBC Oxford.
"It was a horrible injury and our physio has been fantastic with him."
The former Oxford United striker has been given time to fully recover from the chest problem with Brady not wanting to rush Basham back into action too soon.
Brady said: "He played an hour in a county cup game in midweek and then played the full 90 minutes against Leamington on Saturday.
"He was very tired at the end but did magnificently well and brought a whole new dimension to our play."