Despite David Warnerβs availability, Williamson is likely to lead the Hyderabad franchise.
He was among 17 members of the Bangladesh team touring New Zealand who were driven up to a Christchurch mosque as the shooting began.
Bangladesh are scheduled to play a T20 International series in New Zealand in October next year.
Joshi feels that the players will take a long time to recover from the traumatic situation.
England and India continue to hold the first and second place respectively despite the series defeats against West Indies and Australia.
Bangladesh opening batsman Tamim Iqbal said it would be difficult for the national cricket team to overcome the shock of narrowly escaping the shooting.
Team manager Khaled Mashud said the 17 players and support staff were safe, but said they could easily have been caught up in the shooting.
The Bangladesh team bus was barely metres away from the scene of the carnage when the players first heard gunshots.
Bangladesh may not risk Tamim, as any further damage to his groin may affect his World Cup preparations.
With the series already won, Coach Gary Stead said New Zealand would take a "safety first" approach, particularly with this year's World Cup on the horizon.