The ruling on performing the Sa'y of Hajj before Tawaful-Ifadhah

Question :

Is it permissible for the Hajj pilgrim to perform the Sa'y of Hajj before Tawaful-Ifadhah?

Answer:

If the Hajj pilgrim is performing Hajjul-Ifrad and Hajjul- Qiran, it is permissible to perform Sa'y before Tawaful- Ifadhah, thus performing it after Tawaful-Qudum (the Tawaf of Arrival), as the Prophet ﷺ and his Companions who brought the sacrificial animals did.

If the person is performing Hajjut-Tamattu', he must perform two Sa'ys. The first upon his arrival to Makkah and it is for 'Umrah, and the second during Hajj. It is better that he performs it after Tawaful-Ifadhah, because Sa'y follows Tawaf. If he performs it before Tawaf, there is no problem with that, according to the most correct opinion. This is because the Prophet ﷺ was asked, and it was said to him: "I performed Sa'y before I made Tawaf." He replied:
"No problem."

Thus, the Hajj pilgrim does five ritual acts in order on the day of 'Eid: he stones the pillar of Al-'Aqabah, then he sacrifices an animal, then he shaves his hair or cuts it, then he makes Tawaf of the House, then he makes Sa'y between As-Safa and Al- Marwah. However, if he is performing Hajjul-Qiran or Hajjut- Tamattu', he performs Sa'y after Tawaful-Qudum. It is better that he do the acts in the order that we have mentioned, and if he does some of them before others (in a different sequence), especially if there is a need to do so, there is no problem with that. This is from the Mercy of Allâh, the Most High, and His ease. So, all praise is due to Allâh, the Lord of all that exists.

Source:
Ash-Shaykh Ibn 'Uthaimin
Fatawa Islamiyah, Vol. 4 Page 203