Abdullah bin Abbas (may Allah be pleased with him) narrates: A woman from the tribe of Khath'am said: O Messenger of Allah (peace be upon him)! Allah has made Hajj obligatory, and it has become incumbent upon my elderly father who is unable to sit firmly on a mount. Should I perform it on his behalf (the narrator is unsure, perhaps these are the words) should I perform Hajj on his behalf? The Prophet (peace be upon him) said to the woman: Yes.
Hadith Referenceصحیح ابن حبان / كتاب الحج / 3995
Hadith Gradingفضيلة الشيخ الإمام محمد ناصر الدين الألبانيصحيح - انظر رقم (3978). تنبيه!! رقم (3978) = (3989) من «طبعة المؤسسة». - مدخل بيانات الشاملة -.فضيلة الشيخ العلّامة شُعيب الأرناؤوطإسناده صحيح على شرط الشيخين