Nafi' reports: Sayyiduna Abdullah bin Umar (may Allah be pleased with them both) used to perform tayammum at the place of Marbad al-Na'am, which is at a distance of three miles from Madinah Munawwarah. After that (he would perform the prayer and then) when he entered Madinah Munawwarah, the sun would be fully risen, but he would not repeat the prayer.

This narration is also transmitted with another chain of transmission.

Nafi' reports: Sayyiduna Abdullah bin Umar (may Allah be pleased with them both) performed tayammum and offered the Asr prayer at a distance of one or two miles from Madinah Munawwarah. Then he came (to the city) and the sun was still high. He did not repeat the prayer.

Sayyiduna Ali (may Allah be pleased with him) said: "When a person is on a journey, he should calculate the time between himself and the last time for the prayer. If he cannot find water, then he should perform tayammum."