An unidentified man threw the Russian-made grenade into Mwaura's Bar in the early hours of Monday morning.
Two of those injured were still cheap jerseys free shipping being treated for their wounds at Nairobi hospitals on Monday night.
Police publicly refused to link the blast with recent threats from Somalia's al-Qaeda-linked militants, al-Shabaab, to attack Kenyan interests following Kenya's military invasion of the insurgents' territory.
But privately sources said that the attacker, who cheap football jerseys has not been caught, was likely to be an al-Shabaab sympathiser who decided to act alone but who was hoping for recognition by the Somali hardliners.
"It's probable that he was a lone wolf, but was wanting tocheap baseball jerseys show off to the Shabaab leadership in Somalia," said one senior police source not authorised to speak publicly.
"If it was something ordered directly from the big men of Shabaab, we would have expected something much bigger."
The US warned at the weekend that it had "credible"NHL Jerseys Cheap information pointing to an "imminent" terror attack on places frequented by foreigners in the Kenyan capital.
It hosts a large expatriate population, mostly working at the regional headquarters of large multinational corporations or for the raft of United Nations and aid organisations based here.
The grenade attack came as some 2,000 Kenyan solders renewed their push, through heavy rains, towards a key al-Shabaab town in southern Somalia.
Since they were ordered across the border into their troublesome neighbour's territory eight days ago, the Kenyans have not yet engaged the Islamists' army in any significant fighting.
However defence department sources in Nairobi said that theycheap nfl jerseys expected "the first battles" to begin this week.
Aerial bombing raids on al-Shabaab positions close to its coastal stronghold at Kismayo continued on Sunday night. It was unclear if Kenya's air force was carrying out the missions, or US drones.
Analysts have warned that the Kenyan invasion risks boosting al-Shabaab's waning support at a time when the organisation was fracturing, largely due to it running out of money and its poor handling of a widening famine in its territory.