Is obtaining the reward of a complete Hajj and Umrah conditional upon continuous acts of worship between the remembrance of Allah after Fajr and Duha prayer, or can Duha prayer be delayed due to sleep?

Whoever prays Fajr in congregation, then sits remembering Allah until the sun rises approximately a quarter of an hour, then prays two rak'ahs, will receive the reward of a complete Hajj and 'Umrah. It is recommended to make up this prayer if missed, and its time extends until the sun reaches its zenith. Tahajjud is not a condition for attaining this reward. And whoever is overcome by sleep, let him purify himself and pray, and he is hoped to receive the full reward.