Ref. No. 1268 Alif
In the name of Allah the most Gracious the most Merciful
The answer to your question is as it follows:
Shawwal and Zi-qada are the month of Hajj, but performing Umrah or visiting Makkah in these months doesn’t make the Hajj obligatory upon him if he doesn’t have capacity to fulfill the Hajj. Moreover, performing hajj is obligatory only once in a lifetime. Likewise, if he returns home after performing Umrah, and then goes for Hajj the same year, it will not be Hajj e Tamattu owing to the previous Umrah, but it is hajj e Ifrad (without Umrah). For Hajje Tamattu, it is compulsory to perform Hajj and Umrah both in one journey.
And Allah knows best
Darul Uloom Waqf Deoband