The Swansea City Chairman is on the hunt for his second manager in successive summers after Sousa left on Sunday – set to be appointed Leicester manager today.
But Huw insists that the situation this summer is different to last summer and is in no mad rush to make an immediate appointment.
He told the Evening Post "While we fully recognise we need to get a manager in as soon as possible, we've got a stable staff who will make sure our pre-season preparations are fully implemented
"That will give us a bit of breathing space to make sure we get the right person in.
"I can't give a time on it, but over the next few days we'll see what develops.
"We've got a good system in place, we've got staff committed to our training this week and moving things forward," said Jenkins, who has placed coaches Alan Curtis and Colin Pascoe in temporary charge.
"I think we learned our lessons from last year.
"Last year was a different situation because we lost all our backroom staff, chief scout and physios. That was a much worse situation to be in.
"We're fully prepared for any eventuality these days and we have to make sure that system continues at the club and we don't lose all staff when any manager leaves.
"We need to get some continuity here.
"Supporters shouldn't be worried. There's always a bit of apprehension when managers change, but I think first and foremost, we're fully aware of what we need to do and we've got full control over the situation.
"Our players will be properly looked after, put through their paces and pre-season will continue as planned.
"With all the speculation over the past seven to 10 days, rightly or wrongly it comes as a bit of a relief to know where we're going and we can start planning ahead for the start of the season in August," he said.
"I think there's always disappointment when managers leave football clubs, but I think the reality is quite clear in this day and age — players and managers move around.
"We've got to make sure we're always prepared to bring the next player and the next manager in, that's our task.
"As a football club, we've got to be one step ahead all the time."