Brought to my attention by alert reader Judd Weeks. I went hunting for confirmation and found it at Jim's Titanic Site's Titanic Timeline. Here's a bit of it:

April 14: Sunday

Seven ice warnings are received during the day. Reports come in from the Noordamm, Caronia, Baltic, Amerika, Californian and Mesaba.

Church service held in first-class dining saloon.
Lightoller relieved on bridge by First officer Murdoch. Lookouts in crow's nest relieved. Warning to watch for icebergs passed between the watches. Temperature is 32: F, sky cloudless, air clear.
The Californian sends a wireless message directly to the Titanic telling them that they were stopped and surrounded by ice.
The Titanic is steaming at 20.5 knots. Suddenly, lookouts, Fredrick Fleet and Reginald Lee, see an iceberg dead ahead about 500 yards away towering some 55-60 feet above the water. They immediately sound the warning bell with three sharp rings and telephone the bridge: "Iceberg right ahead." Sixth officer Moody on bridge acknowledges warning, relays message to Murdoch who instinctively calls "hard-a-starboard" to the helmsman and orders the engine room to stop engines and then orders full astern. Murdoch then activates the lever to close all watertight doors below the waterline. The helmsman spins the wheel as far as it will go. After several seconds, the Titanic begins to veer to port, but the iceberg strikes starboard bow side and brushes along the side of the ship and passes by into the night. The impact, although jarring to the crew down in the forward area, is not noticed by many of the passengers. Thirty-seven seconds have passed from sighting to collision.
Captain Smith asks designer Thomas Andrews and the ship's carpenter to conduct a visual inspection of the damage. Water has poured in and risen 14 feet in the front part of the ship.