Related על שבת 19:20

[A person] who enters a bathhouse: In a place where people are standing dressed, it is [permitted] there [to] read [the Shema], and [say the] prayer [of Shemoneh Esreh], and one does not even need to mention [that] greetings [are allowed there]. One can put on his Tefillin (Phylacteries) [there] and one does not even need to mention that he does not [need to] take his Tefillin off [there]. [In] a place where [some] people are standing dressed and [some people are standing] naked, it is [permitted] there [to say] greetings, but it is not [permitted] there [to] read the Shema and [say the] prayer [of Shemoneh Esreh], and one [does] not [have to] take off his Tefillin [there], but one may not put [his Tefillin] on [there] from the start. [In] a place where [all] people are standing naked, it is not [permitted to] greet there, and one does not even need to mention [that] reading [of the Shema], and prayer [of Shmoneh Esreh], and taking off his Tefillin [are all forbidden there], and one does not even need to mention that he may not put them on (i.e. Tefillin) [there as well].