\version "2.19.17"

notes = \relative { c'2 c R1 c2 c }
text = \lyricmode {
  Test
  \set associatedVoice = ##f
  case.

  Does1*1/6 this do what you
  \set associatedVoice = "voice"
  want?

  end text
}

\score {
  <<
    \new Staff \new Voice = "voice" \notes
    \new Lyrics \lyricsto "voice" \text
  >>
}