Jennings, under whom South Africa lost the Test series against England before bouncing back to win the One-day series, said having done "a lot" for the national cricket team, he expected the United Cricket Board of South Africa (UCBSA) to retain him as the coach.
"The team has shown a great deal of improvement under my tutelage and I hope the players will want me to stay on," Jennings said on Tuesday.
"It does not help if I waste my time and energy and the people around me do not support me. I will talk to the players in the next two or three weeks and ask them, because I am still in the dark at the moment," he said.
Captain Graeme Smith, who had been quoted in British newspapers as saying he would like Steve Waugh to take over as coach, said it was for the UCBSA to decide on the issue.
"Jet (Jennings) is very important, but we will have wait and see what the Board decides. It is a difficult situation," said Smith, who is scheduled to undergo treatment for an ankle injury in Cape Town.
The coach's position will come under review after South Africa complete their tour of the West Indies following a series against Zimbabwe starting this month.
UCBSA spokesman Gerald de Kock said the Board had not taken any decision as yet on appointment of a coach.
"All applicants will be considered carefully before a decision is made", De Kock said.