Does Ruby Emit Red When Illuminated with Green Light?

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Ruby, when excited by green light around 556nm, is expected to emit red light due to its phosphorescent properties. The question arises whether the emitted light can be observed simultaneously with the excitation light or if the excitation must be removed first. In laser systems, such as diode-pumped Nd:YAG lasers, the pump light remains on while the end mirrors filter the emitted laser light. This indicates that it is possible to see the red emission while the green light is still present. Understanding the interaction between the excitation source and the emitted light is crucial for applications involving ruby as a laser medium.
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If you have a phosphor such as ruby (Cr:Al2O3) and you excite it with a light source near its main pump band (~556nm) then you should see emit light with a difference in color from the source light, correct? For example if I shined a green light onto this piece a ruby, it should appear red should it not? Or, does the light source need to be removed in order to see the shifted emitted light? I know this is probably a stupid question but I really need a sanity check right now.
 
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Within a laser cavity, the pump light is always on; the endmirrors take care of spectrally filtering the laser light. Look at how diode-pumped Nd:YAGS are set up, for example.
 

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