Is it prescribed for the pilgrim to offer an udhiyah?

Firstly: 

If you are doing Tamattu’ or Qiraan, then each of you must offer a separate hadiy, and one ram is not sufficient for both of you, because offering a sacrifice is obligatory for the one who is doing Tamattu’ or Qiraan. The one who cannot afford that has to fast for ten days, three days during Hajj and seven when he returns to his homeland, as Allah says (interpretation of the meaning):

“and whosoever performs the ‘Umrah in the months of Hajj, before (performing) the Hajj, (i.e. Hajj-at-Tamattu‘ and Al-Qiraan), he must slaughter a Hady such as he can afford, but if he cannot afford it, he should observe Sawm (fasts) three days during the Hajj and seven days after his return (to his home), making ten days in all”

[al-Baqarah 2:196]

But if you are doing Ifrad, you do not have to offer a hadiy, but you may offer it voluntarily if you wish, offering one or more. The Prophet (peace and blessings of Allah be upon him) offered one hundred budnah as a hadiy during his Hajj. 

Secondly: 

As for the udhiyah, it is not prescribed for the pilgrim to offer it; rather what is prescribed for him is to offer the hadiy. 

Shaykh Ibn ‘Uthaymeen (may Allah have mercy on him) was asked: How can a person combine udhiyah and Hajj, and is that prescribed? 

He replied: The pilgrim does not offer an udhiyah, rather he offers a hadiy. Hence the Prophet (peace and blessings of Allah be upon him) did not offer an udhiyah during the Farewell Hajj, rather he offered a hadiy. But if we assume that he is doing Hajj by himself and his family are in his homeland, then in that case he should leave his family enough money to buy an animal and offer it as an udhiyah, so he will be offering a hadiy and they will be offering an udhiyah, because the udhiyah is only prescribed in places other than Makkah, but in Makkah it should be a hadiy. End quote from al-Liqa’ al-Shahri. 

See also the answer to question no. 82027 

And Allah knows best.