Campaign sources confirm to ABC News that the speech, which was slated to happen later this week in Denver, has been postponed and his trip to Colorado has been cancelled.
Sources tell ABC News that the speech will be given in a few days.
The confirmation of the delay comes several hours after the Republican presidential nominee said he was not flip-flopping on his plans to have a "deportation force."
Trump insisted earlier today that he was not reversing his stance on immigration, after a weekend of various reports.
"I will tell you, we are dealing with people," Trump said during an interview on "Fox & Friends." "We have to be very firm. We have to be very, very strong when people come in illegally. We have a lot of people that want to come in through the legal process and it's fair for them. We're working with a lot of people in the Hispanic community to try and come up with an answer."
Trump has suggested deporting the country's millions of undocumented immigrants and heaped criticism on them for a number of the problems facing the country.
Trump's comments come amid reports over the weekend that during a roundtable meeting with Hispanic leaders, he expressed an openness to changing his hard-line stance on undocumented immigration.