The @WMO is to be commended for producing a series of excellent scientific assessments, recently 4 on tropical cyclones & now one on global monsoons:
Wang et al. Monsoons Climate Change Assessment. Bulletin of the American Meteorological Society (2020).
journals.ametsoc.org/doi/pdf/10.117…
Wang et al. Monsoons Climate Change Assessment. Bulletin of the American Meteorological Society (2020).
journals.ametsoc.org/doi/pdf/10.117…
The monsoon assessment does not discuss emergence timescales but Fig.2 suggests it might be a while 
A caution
Like the game of "telephone" the scenario provenance of specific projections to 2100 can get lost in such assessments, eg, collapsed into a low-to-high range presented as if spanning uncertainty range
More specificity & precision in scenario basis is needed in assessing
Like the game of "telephone" the scenario provenance of specific projections to 2100 can get lost in such assessments, eg, collapsed into a low-to-high range presented as if spanning uncertainty range
More specificity & precision in scenario basis is needed in assessing
