Hi!
There is no option for that, however it is possible to resolve it with a small custom CSS snippet.
Apply this code to your theme custom CSS field (if it supports it) or use the custom CSS field on the search plugin back-end.
[html]@media only screen and (max-width: 480px) {
p.asp-try {
display: none !important;
}
}[/html]
This will hide the keywords on devices, where the screen width is below 480 pixels, which is basically all mobile devices. If you want to cover more, just increase this number.
I hope this helps!