A method is disclosed for providing speech parameters to be used for synthesis of a speech utterance. In at least one embodiment, the method includes receiving an input time series of first speech parameter vectors, preparing at least one input time series of second speech parameter vectors consisting of dynamic speech parameters, extracting from the input time series of first and second speech parameter vectors partial time series of first speech parameter vectors and corresponding partial time series of second speech parameter vectors, converting the corresponding partial time series of first and second speech parameter vectors into partial time series of third speech parameter vectors, wherein the conversion is done independently for each set of partial time series and can be started as soon as the vectors of the input time series of the first speech parameter vectors have been received. The speech parameter vectors of the partial time series of third speech parameter vectors are combined to form a time series of output speech parameter vectors to be used for synthesis of the speech utterance. At least one embodiment of the method allows a continuous providing of speech parameter vectors for synthesis of the speech utterance. The latency and the memory requirements for the synthesis of a speech utterance are reduced.