The Sunday Times/Behaviour & Attitudes poll shows that the incumbent is on track for another term in the Áras with 69% of the vote.
He is 58% ahead of his closest rival Sean Gallagher who is on 11%.
Liadh Ni Riada sits in third on 7%, Joan Freeman has 6% and Gavin Duffy is on 4%.
The poll surveyed 930 voters, and has a 3.3% margin of error.
However, the poll was conducted between October 5 and October 16 which was before Mr Casey's comments on the Travelling Community emerged.
The former Dragon's Den star sparked controversy this week by saying he does not recognise Travellers as a distinct ethnic minority and they are "basically people camping in other people's land".
Mr Casey indicated today that he is likely to continue his bid for the Áras and is more determined than ever to remain in the race.
Writing in the Sunday Independent, the businessman says he has received messages of support since he announced he would decide, over the weekend, whether to withdraw from the contest.
