Azhar Ali did not play in the first Test, which ended in a draw in Abu Dhabi on Saturday, due to a foot infection.
Team manager Intikhab Alam said Ali would return home and it was not clear if he would be able to rejoin the squad before the Test.
“Its sad that Ali has to return home following the death of his mother-in-law and his return before the second Test will depend on his visa for the United Arab Emirates,” said Alam.
Ali had recovered well from his foot infection and trained on Friday and Saturday.
Pakistan will have the services of leg-spinner Yasir Shah who regained full fitness after missing the first Test due to back spasm.