Musannaf Ibn Abi Shaybah

Hazrat Abu al-Duha was asked whether a person in a state of major ritual impurity (junub) can eat. He replied, "Yes, he can also walk around in the market."

Hazrat Abu Razeen says that sometimes I am in a state of janabah, so I perform wudu and go to the market and fulfill my needs.

Hazrat Ata, regarding the person who is in a state of janabah and wants to go out, says that he should first perform the ablution for prayer.

Hasan, regarding the person who is in a state of janabah and wants to go out to the market for some work, says that he should wash his private parts and perform the ablution for prayer.

The same is also narrated from Hazrat Ibn Abbas (may Allah be pleased with them both).

Hazrat Mus'ab bin Sa'd narrates that Hazrat Sa'd would sometimes perform ablution (wudu) while in a state of major ritual impurity (janabah) and then go outside.