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multivariate continuous response and ordinal predictor(s)

Dear all,
I need to run a model with multivariate continuous responses and one (or more) ORDINAL (i.e. 1,2,3, etc.) predictor variables; these are not factors because are ordinal; the more intuitive solution could be to apply a standard lm() but I ask you if some more appropriate strategies can be adopted. 
I saw VGAM package but it does not seem to do  what I want
Thankyou in advance for any advice
best
paolo