After emailing sprint, here's the response I got on Jelly Bean:
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Dear [[Redacted]],
Thank you for contacting Sprint. I understand your concern about
availability of software update to Android 4.1 Jelly Bean for the
Samsung Galaxy Nexus phone.
The Android 4.1 Jelly Bean is not currently available for the Samsung
Galaxy Nexus phone from Sprint so I am unable to provide the time-frame
for its availability. Whenever this version is available for this phone,
you will get information on sprint.com and promotional media. I
appreciate your patience in this regard.
We value your business and appreciate the opportunity to answer your
questions. Please reply to this email or visit sprint.com if we can be
of assistance.
Sincerely,
[[Customer Service Guy's name]].
Sprint
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Dear [[Redacted]],
Thank you for contacting Sprint. I understand your concern about
availability of software update to Android 4.1 Jelly Bean for the
Samsung Galaxy Nexus phone.
The Android 4.1 Jelly Bean is not currently available for the Samsung
Galaxy Nexus phone from Sprint so I am unable to provide the time-frame
for its availability. Whenever this version is available for this phone,
you will get information on sprint.com and promotional media. I
appreciate your patience in this regard.
We value your business and appreciate the opportunity to answer your
questions. Please reply to this email or visit sprint.com if we can be
of assistance.
Sincerely,
[[Customer Service Guy's name]].
Sprint