But even this may not affect the climate. This from Blumberg:
The impact of the Eyjafjallajökull volcano is likely to be “virtually non-existent” on the global climate because the eruption is too small and gases are not penetrating the upper atmosphere, Blair Trewin, a senior climatologist at Australia’s National Climate Centre in Melbourne, said in an interview.
“In its current form, we wouldn’t expect the eruption to have any significant global climate effects,” Trewin said today by telephone. “In terms of how much material was being put up into the atmosphere, Pinatubo was several hundred times larger than this has been so far.”